₦airaland Forum

macof: What's all this bullcrap?? I asked for evidence of your God as it relates with his personality and stories surrounding him not maths

This is a clear indication that christianity is bullshiit for the mentality lazy

It seems to me sir that you are more mentally lazy than i am...If i have been able to put forward line after line of deductive reasoning and still you cannot get my line of thought then i doubt if Aristotle, Betrand, Lakatos or Popper can be of any help if they were on this thread...No hard feelings sir, do not be offended. we are all just stating our different positions and positions are always in relation to another. We may not agree but that should not make us denigrate ourselves or our respective philosophical or religious stance...one love bro!

benbuks: $(√tanx) /(sinx.cosx) dx

try...asap.

∫(√tanx/(sinx.cosx) dx
=∫{√sinx/[√cos (√sinx)^2).(√cosx)^2)] dx
=∫{1/[√cos (√sinx)).(√cosx)^2)] dx
=∫{1/[(sinx)^(1/2)].[(cosx)^(3/2)]} dx
=∫{[cosx/((sinx)^(1/2))] + (sinx)^(3/2)/(cosx)^(3/2)]} dx
=∫{[cosx/((sinx)^(1/2))]dx + ∫(sinx)^(3/2)/(cosx)^(3/2)]} dx
=2√sinx + ∫(tan)^(3/2) dx
=2√sinx + ∫(tan^2(x).√tanx) dx
=2√sinx + ∫(sec^2(x).√tanx) dx - ∫√tanxdx
=2√sinx+(2/3).tanx.√tanx)-(√2/4)ln[(1-√(2tanx)+tanx)/(1+√(2tanx)+tanx)]- (√2/2)arctan[√(2tanx)/(1-tanx)]


proof of that:
∫√tanxdx=(√2/4)ln[(1-√(2tanx)+tanx)/(1+√(2tanx)+tanx)]+ (√2/2)arctan[√(2tanx)/(1-tanx)]

Given:
∫√tanxdx
Put u^2=tanx
2udu=sec^2(x)dx
(2u/1+u^4)du=dx
2∫(u^2/(1+u^4))du
2∫(u^2/[(1+u^2)^2-2u^2)]du
2∫(u^2.du/[(1-√2.u +u^2)(1+√2.u +u^2)]
2∫(u^2.du/[(1-√2.u +u^2)(1+√2.u +u^2)]
u^2/[(1-√2.u +u^2)(1+√2.u +u^2)=(a+bx)/(1-√2.u +u^2) + (c+dx)/(1+√2.u +u^2)
u^2=(a+bu)(1+√2.u +u^2) + (c+du)(1-√2.u +u^2)
u^2=(a+√2.ua +au^2) + (bu+b√2.u^2 +bu^3) + (c-c√2.u +cu^2)+ (du-d√2.u^2 +du^3)
u^2=a + c + (√2a + b + d -c√2)u + (b√2 + a + c - d√2)u^2 + (b + d)u^3
a+c=0
√2a + b + d -c√2=0
b√2 + a + c - d√2=1
b+d=0
from these we have:
a - c=0
b - d=√2/2
hence we have that:
a=0, c=0, b=√2/4 and d=-√2/4
(√2/2)∫[u/(1-√2.u +u^2)du - (√2/2)∫u/(1+√2.u +u^2)]du
(√2/4)∫[(2u-√2+√2)/(1-√2.u +u^2)du - (√2/4)∫(2u+√2-√2)/(1+√2.u +u^2)]du
(√2/4)∫[(2u-√2)/(1-√2.u +u^2)]du + (√2/4)∫√2/(1-√2.u +u^2)du - (√2/4)∫(2u+√2) /(1+√2.u + u^2)]du +(√2/4)∫√2/(1+√2.u +u^2)]du
(√2/4)ln(1-√2.u +u^2) + (1/2)∫1/(1-√2.u +u^2)du - (√2/4)ln(1+√2.u+u^2)] + (1/2)∫1/(1+√2.u +u^2)]du
(√2/4)ln(1-√2.u +u^2) + (1/2)∫du/[(u-√2/2)^2+1/2] - (√2/4)ln(1+√2.u+u^2)] + (1/2)∫du/[(u+√2/2)^2+1/2]
Hence we have that:
(√2/4)ln(1-√2.u +u^2) - (√2/4)ln(1+√2.u+u^2)] + (√2/2)arctan(√2.(u-√2/2)) + (√2/2)arctan(√2(u+√2/2))
(√2/4)ln[(1-√2.u+u^2)/(1+√2.u+u^2)]+(√2/2)arctan[(√2.(u-√2/2)+√2(u+√2/2))/(1-√2(u+√2/2) √2(u-√2/2)]
put u=√tanx
(√2/4)ln[(1-√(2tanx)+tanx)/(1+√(2tanx)+tanx)]+(√2/2)arctan[√(2tanx)/(1-tanx)]

over to the auditors general!

Dapo777: Ok calling u stupid was off the hook,my bad.....sorry for saying that.....But it wasn't unsolicited........ u implied my family were all sinners and I reacted .....

God is not a hoax But the Christian God is from all evidences I have seen and read So far.....But Am a liberal and open minded person,I could be wrong..... the God of the Bible could be real.....and u could be saving a soul from destruction...... plsss I need an answer to that question......Am still open minded about the existence of God....
Thanks.....

Dapo if yu want a Christian's position one life's questions then i'l give you one and though i'm not stating this as a sage or prophet and you are not in any way bound to accept my position as true...Truth is in the heart of the thinker, i'l let you find it for yourself!

qstar: Guy, bye bye. I thought god had better employees

oh pardon God's magnanimity! He employs dumb folks like me and makes a sage out of us...He's not looking for self made sages like you that attribute your scholastic excellence to sheer hardwork devoid of any divine input...Pardon us QSTAR, it takes a FOOL to work for a FOOL and if my God is a FOOL, then i'm glad to be a FOOL on his way to becoming the GREATEST FOOL THE WORLD HAS EVER KNOWN! !!!

qstar: Even Christians confirm it that their god is illogical.
So, god is crazy!

YES! my God has to be CRAZY!!!

To a 1st century man, an aeroplane would be MADNESS in action

Even the like of Pythagoras with all their sagacity would have considered mobile telephony WITCHCRAFT

Sir we operate in different dimensions, so you see it is necessary for my GOD to be ABSOLUTELY CRAZY in relation to you...lol

Dapo777: I have a question concerning ur statement....."They act CONSISTENTLY with eachother, have the same goals, the same emotions, the same thoughts, the STANDARDS."
What you are saying is that God,Jesus and holy spirit all have the same goals emotions and thoughts,then that means they must all agree on issues at all times. Right?

Can you then explain Why Jesus was crying on the mountain before he was crucified that the cup should be lifted off his head? Why was Jesus crying? It could only mean that he didn't want to be crucified....But God wanted him to be crucified, So how do they share the same thoughts emotions and goals when they dont even agree on crucifixion?

Bro Dapo, as far as you are concerned God is a hoax, another cheap scheme to cheat you...so no matter how compelling my argument is to you it would sound like the mindless rambling of an presumptuous fool...so bro Dapo, be WISE and let folks like me remain a FOOL...

macof: to discuss Olodumare would derail the thread


you didn't address my post, how can we say jehovah exist when we can't use Evidence or logic to prove it's existence??

I can tell u, a flying spaghetti created humanity and all things in the universe, it doesn't sound less childish and silly than the jehovah story
Because basically, jehovah is jst a being floating somewhere in the sky

well sir you must understand that proofs are subject to the 'field' within which you operate.

In plane geometry, the sum of angles in a triangle equals 180 but in geodesy the sum may exceed 180!

In a real field, √-1 does not exist but in a complex field
√-1=i

if a spherical ball falls through a 2-d world a transition from a dot to a full circle and later to dot would be observed but in a 3-d world the entity remains constant

Bro what's my point, you may ask! God is an entity yond our much narrow dimension and hence you can't validly use the scientific method, and it's sequence of refutations and corroborations according to Karl Popper, to prove or disprove the existence of God!

That's why belief exist! So no one can say i have a valid scientific proof of who God is and hence which religion is true, we only have our beliefs!

So hold on to yours while i hold on to mine...in the end, we'll know who's right and who's wrong!

many are just arguing for the sake of arguing!

i have stated countless times that 'faith' exists in a realm not accessible to logic and empirics. Debates over which faith is true should and must not exist in the realm of scientific thought.

And to the likes of emotional who keep stating that the view that one philosophical cum religious stance is superior to another amounts to insanity are also culprits of their own assertion.

I guess i must go logical to state my point:

observe my lines of argument and critize its coherence

premise 1 p(1): religion A is the true religion

premise 2 p(2): religion B is the true religion

premise 3 p(3): proponents that assert the superiority of a religion over others are INSANE

where
A denotes Christianity or any other religion other than Pantheism

B denotes Pantheism

Now emotional and the likes of him states that:

p(1) ∧ p(2) = φ which is a contradiction

p(1)→p(3) meaning p(1) implies p(3)
and as a matter of necessity

p(2)→p(3) meaning that p(2) also implies p(3)

both statements according to the rules

~p(1) ∨ p(3) = p(1) → p(3)

~p(2) ∨ p(3) = p(2) → p(3)

meaning that it's neither p(1) nor p(2) are true or p(3) is true.

So sir if it's madness stating that Christianity is the only true religion, it is also madness stating that Pantheism (your religious stance) is the only true religion.

It would have been wonderful if the debaters here were half as logical as they claim they are and quit making essentialist arguments!

emotional: @efficiencie. Pls tell me, what makes your faith the only true religion?

It would be an exercise in futility sir. We are in the realm of normative thought and thus its practically impossible for me to state a formal proof that my faith is the true faith!

That is why it is called a 'faith', it is inextricably tied to my belief and believing requires accepting a proposition without proof or the prospects of proof.

So sir, if you won't believe, it is futile for me to put up a spirited defense of my faith!

And if i can't present a formal proof, it's useless asserting the truthfulness of my faith unless we both appeal to higher realm of discourse where formal scientific proofs break down.

Remember if God exists he must be Spirit and if he's Spirit then our proofs of God must be spiritual and not scientific!

macof: Lol u have not fully understood the concept of Olodumare. Pls don't use Olodumare as example.

the very fact that christianity doesn't appeal to it's adherents to seek knowledge in rationality and logic shows it is false...
Why is jehovah afraid of humans being intelligent?
He even punished Adam because he wanted to be intelligent and knowledgeable

Educate us bro, if you have a contrary or nesting conceptualization of the Yoruba polytheistic belief!

My brother, sociology teaches that it is erroneous to judge the rightness or the wrongness (permit my choice of words) of the culture or tenets of another based on yours.

Your philosophical cum religious stance enshrines and venerates reason and empirics above any conceptualization of God. Another person's stance deifies an entity other than self, reason or empirics. One cannot validly and objectively invalidate one on the basis of another with the use of the scientific method of inquiry. Such arguments are in the slippery realm of normative thought.

So sir, worship reason and empirics as your God while I venerate the Trinity as my God!

qstar: Allah will bring the world to an end. He is the
one and supreme God. Once you believe there is
only but one God, you have acknowledged Allah.
He loves you and he's always waiting for you to
repent of your "evil" ways and come to him.

Bro! many believe there's one God and yet do not accept Allah as their God or muhammed as their prophet. The Jews accept the unit God doctrine and follow Moses. The Jehova witness accept the unit God doctrine but do not recognize muhammed, the Ecks accept the unit God doctrine but they worship 'sugmad' and not Allah...so you see bro you may be wrong there.

Qstar, i have served God as the Trinity and i have never felt so loved. At times my father punishes me only to draw me near again and teach me not to err again. Jesus taught me what love meant and gave me the privilege to love everyone irrespective of tribe, ethnicity, religion or race. The HolyGhost speaks to me, warns me of danger, gives me the words when i'm speechless and opens the mysteries of the truth to me with almost graphic details often times...and the HolyGhost has manifested the great gifts of tongues, prophecy, faith, teaching and words of wisdom and knowlege all through me...WHAT MORE DO I NEED...I have everything I need because I have the HolyGhost in my heart!

emotional: I regard all the theories, guesses and
speculations of the theologians and
metaphysicians regarding the inner
nature of THE ALL, as but the childish efforts of
mortal minds to grasp
the secret of the Infinite.

The aforementioned sums up your stance and it I believe you believe that your stance is infallible and superior to all other contrary philosophical cum religious stances. Does that not make you very much like qstar and I who by our comments uphold the tenets of our respective religions as infallible and globally superior!? So you see you'll also be hurt by your conclusion that the veneration of a religion as the one and only source of truth is tantamount to INSANITY!

In the end sir we are all MAD in relation to another with a contrary religion...This is quite logical and is proximally connected to the concept of 'culture shock' in sociological discource.

Jesus is, was and will always be at the centre of all religious controversy...and I believe only he can unravel the truth and if it is said that he will be coming back again to this world, then the whole world will get to know the truth albeit some with JOY and some others with SORROW...

you may wonder why Jesus was killed. He was killed because of his definition of oneness. The Jews without revelation knowledge defended the concept of a unitary God, hence defining oneness mathematically but when Jesus came and identified himself as the son of God, the Jews understood this a violation of a unit God because if what Jesus said was true then Jesus would be in the same class as God and the concept of a unitary God in mathematical terms would be refuted. The Jews recognized this as blasphemy and promptly executed him.

So you see the Jews like the Muslims hold the view of a unitary God with the conceptualization being underpinned by arithmetic or the science of numbers but Jesus made us understand that the oneness he spoke of was not based on arithmetic but rather a UNION, a BOND, a FAMILY so tightly knit that they are always in PERFECT HARMONY!

qstar: In sum, you serve nine gods. Are you a polytheist?

well bro we sum differently. Polytheism suggests divine structure just as Christianity suggests divine structure...Polytheists such as those of the Yoruba tribe, believe in one supreme being 'OLODUMARE' who is himself worshipped by other lesser gods (ORISHA) who happen to be mediators such as: sango, obatala, sopona, oya, osun, ogun etc but in Pantheism these lesser deities are not considered to be in the same class as: 'OLODUMARE' the supreme being...in contrast to Christianity, The Holy Spirit is seven but yet one (Revelations 5:6), the Father gave birth to Jesus (John 3: 16) and Jesus is one with the Father (John 10: 30). So you see, in Christianity we serve a FAMILY and not a UNITARY DEITY...and since they exist in a FAMILY they are ONE! They act CONSISTENTLY with eachother, have the same goals, the same emotions, the same thoughts, the STANDARDS.

Hence I am not a polytheist who serve gods that are not in the class of their supreme being...rather i serve a FAMILY that is ONE!

The GOD I serve defies logic and often times Christians are often acclaimed to be the EPITOME OF STUPIDITY but yet I am glad to be considered a member of this group characterized with STUPIDITY...So you see I BELIEVE IN GOD, if i had logical and empirical proofs of who GOD was then it would be unnecessary to BELIEVE (Hebrews 11:6)

qstar: Ok bro. I'm sorry if you thought i was being proud. Please forgive me. But, which of the Gods do you serve? Allah, Sango, Jesus, Bhrama, Odin or Amadioha?

Please, make your reply to be brief.

I serve the Trinity! The Father, the Son (Jesus Christ) and the Seven Fold Holy Spirit.

qstar: Do you have comprehension issues? or you're just being slow?

Bros, to sum up your argument. You require that God speak for himself instead of using flawed third parties!

Lol bros, lighten up! We are just stating our positions. My response is summed up in this argument:

there are two possibilities. it is either God exists or he doesn't. the former premise presents another two possibilities: it's either he has been speaking and you somehow for whatever reason have not listened or he has decided to speak via flawed third parties who do not have the mettle by your standards to convince your highly 'upright state of mind' or he has altogether refused to speak. The conclusion sir, is that it is either God exists and is speaking but you do not buy the bullshit he's giving you or he does not exist all

...either way I conclude that you must be the God of yourself. Only a God would believe that there is no other God or that his words either directly or indirectly are just another 'tales by moonlight' that do not fit the facts that your 'upright state of mind' can grasp and comprehend. Lol bro, no hard feelings, we are just stating our positions

emotional: @Op. Energy,force,universal laws(by which d earth is govern) spirit,Nature, the unseen etc. What ever you/we might choose to call it, l think for easier references it was named god. It is insanity for any faith or religion to assume the right(monopoly) knowledge of these elements(permit to use d word) mentioned above. The totality of 'THE ALL' is and shall ever remain a mystery to the Living. Do to others what you want them to do unto you, the golden rule. For those who are for/dispute the supernatural, let your experience be your authority. My thought.

logically and empirically speaking, if the bold portion of your assertion holds, then more than 99% of the world's population must be insane. This is because every philosophical stance concerning religion is a religion in itself and the fact that a person has a religious stance be it pantheism, polytheism, monotheism all connotes a lack of disharmony with all other religious stances and hence conveys a sense the immutability and total corrigibility.

So you see sir, going by logic and empirics, your bold comment implies that all of those that posted comments on this thread, Christians, Muslims, Atheist, Agnostics, Gnostics, Pantheists (like you sir), Polytheists and so called pagans are all INSANE including me sir!

qstar: If you want to woo a girl, will you send someone else to do that for you?

Go and tell your deity that we are tired of "hear-say". If he/they/it/she really loves us and wants us to love it/him/them back, let it come and do the wooing. We are tired of third-party apologists. Tell the boss to come, I am waiting.

Bros! Hehehe! If you are tired, then be tired na. Affiliation to any religion is not by force na. Logically, non-alignment to any of the religions is in itself a religion with you being the God or deity of yourself. So bros serve yourself and let those who believe there is a God to be served serve their God.

When a preacher of another deity seems to woo you simply announce yourself as God and I believe any right thinking preacher will let you be.

So bros stop waiting for the boss. If the boss exists he'd have spoken a long time ago before you became a hardened atheist or it may be that he's speaking but you really do not want to hear the 'tales by moonlight' that he has to say...so bros serve yourself and if you are lucky you may get some others to serve you as their God too...that would be a lot of fun you know

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Yo bro! I mean no disrespect but don't you think you are doing the academic community a disfavor. I was into a business such as this, THEORETICAL and ECONOMETRIC MODELING and while I made a living off this, which happened to be my passion, I realized soon that those I worked for and helped get great grades in their dissertations where the same calibre of lecturers that taught me a truck load of nonsense at the undergraduate level and contributed immensely to my resentment for the current generation of mediocres we call lecturers today and my inability to realize my full potential as an aspiring polymath.

Imagine Doctorate degree holders in Economics that cannot grasp the basics of calculus, matrix algebra, real analysis, complex analysis, functional analysis and probability theory. Little wonder there are so many of them claiming to have mastery in the field of economics yet the Nigerian economy is going down the drain with research papers that have little or no practical significance for policy makers in government as guides to action or critiques of policy stances that have failed, and continued to fail, as we see today in economic discourse.

Imagine, a Physics lecturer with a Doctorate degree that cannot prove the general rule for quadratic equations. Imagine a Doctorate degree holder of Economics that is easily bewildered by the beauty of general equilibrium theory...Bro! This is the reason Physics graduates are in banks and Economics graduates at the cash counter to mention but a few!

I do not mean to dash your hopes of making a livelihood off a practice that may be your passion...but I plead that you do not make this line of business a long run profession because in the long run our institutions would be dead and they would produce more robbers and prostitutes than they are currently doing and we, you and i who have profited from the inadequacies of the academic institution using our hard sought skills and talents, will have ourselves to blame.

One love bro!

masperano: A girls present age is the age her brother will be when she will be twice the age he was when her age was half the sum of their present ages. How old are they presently

Let the current ages of the sister and brother be x and y respectively

When the brother is y+k years his age equals that of his sister’s present age x and at the point in the future when the brother is y+k the sister is also x+k when her age will be twice the age the brother was y-l at which point in the past the sisters age x-l would be half the sum of the present ages of the sibs given as x+y.

Mathematically, I can derive three equations from the above statement:

x=y+k …1

x+k=2(y-l) …2

x-l=(x+y)/2 …3

put the value of x in equation 1 into the equation 2 and 3 and hence we have the results:

y=2(l+k) …4

k=2l …5

on fixing the value of k or the value of l in equation 5 into the equation 4 the following results:

y=6l or y=3k

on fixing the above values in the equation 1 we have:

x=8l or x=4k

hence the ratio of the age of the sister to the brother must be:
4:3 and for the problem to hold the growth in the future and retardation into the past must be governed by the relationship k=2l

Hence an infinite set of values for x and y holds where:
x=4 and y=3 and k=2l for all positive integral values of k and l


over to the auditors general!

ANDREW2EIC: I hail all the gurus in the house. I humbly plead you guys to help me solve these problems. 1.) if x = a(1-cosecD) and y = a(secD + tanD), show that xy² + a²(a² - x ) = 0.

2.) a polynomial p(x) is divided by x² - x and the remainder is A + Bx. Determine the constants Aand B. Detailed explanation would be appreciated.
Thanks in advance,

on question one:

if x = a(1-cosecD) and y = a(secD + tanD), show that xy² + a².(a² - x ) = 0.

An inductive proof first:

Put a=1, D=30 and hence x=-1 and y=2√3/3 + √3/3=√3

xy²=-3 and a²(a²-x)=1--1=2

xy²+a²(a²-x)≠0

if the rule isn’t true for the selected real values of a and D then it won’t be true in the general case so bro check the problem again and repost!

jackpot: Resolve into partial fractions to get 1-(2/(2+cos x)), then the rest is easy.

Hint: see efficiencie's integration of 1/(cos k+cos x) and take cos k=2.

yu b machine...

Dapo777: What are you talking about?
Why do Christians always avoid questions thrown at them?

Last possibility, can u mention someone's name who doesn't violate God's law?

1st possibility, u didn't answer my question. ARE THEY FALSE PROPHETS AT MFM PRAYER CITY.

2nd possibility, are you telling me that everyone that goes to mfm prayer city are or must be HOLY? I think u are d dumb one here because no one is holy. Or maybe u think u are holy. Trash!!!!

May ur stupidity stand d test of time.

yu nid to lighten up bro! we are just stating our positions don't take it personal...one love

Dapo777: What are you talking about?
Why do Christians always avoid questions thrown at them?

Last possibility, can u mention someone's name who doesn't violate God's law?

1st possibility, u didn't answer my question. ARE THEY FALSE PROPHETS AT MFM PRAYER CITY.

2nd possibility, are you telling me that everyone that goes to mfm prayer city are or must be HOLY? I think u are d dumb one here because no one is holy. Or maybe u think u are holy. Trash!!!!

May ur stupidity stand d test of time.

If my present state in God is STUPIDITY then i'm grateful to God for making stupid...I wonder where i'd have been if i weren't as stupid...And if i'm stupid, then God must be stupid and all of those that believe in him must be stupid as well...at least we believers all have something in common...GREAT STUPIDITY!

Again i say:

Revelation 22:11 He that is unjust, let him be
unjust still: and he which is filthy, let him be
filthy still: and he that is righteous, let him be
righteous still: and he that is holy, let him be
holy still.

i guess it's fun and fashionable being an atheist nowadays...God was never fun and fashionable! The Jews hated him for the multitude of rules, the greeks hated him because he defies reason and commonsense, the proud hate him cos he chooses the worthless and makes them his mouthpiece, the businessmen hate him because he threatens their profit with a baseless tithe, boys hate him because he commands sex after marriage (boring crap), girls hate him because he stalls them from bodily enhancements (some even force it on God, and say 'what the 'f' can you do about it)...many hate God for many reasons...but my response will be God's:


Revelation 22:11 He that is unjust, let him be
unjust still: and he which is filthy, let him be
filthy still: and he that is righteous, let him be
righteous still: and he that is holy, let him be
holy still.

Dapo777: @The last possibility, do you mean we have demons who are powerful/legal enough to stop God's prophecy from bringing forth result? Shouldnt God be more powerful than the demons,when God says Yes,can demons say no?
@ first possibility, I don't think So,this is mfm prayer city Am talking about here not just any church,are they false prophets at mfm prayer city?
@Second possibility,everyone is a sinner,you sin,I sin,we all sin,going by this possibility then no prophecy would ever come to pass because we are all fvck

give me a better explanation
Thanks

I laugh at your response!

last possibility God's prophecy are contingent on meeting his conditions. Doing righteousness, mercy and justice. Violate God's law and demons cease that opportunity to stop your prophecy!

1st possibility A false prophet is anyone who prophesies by any source other than the HolyGhost though it may come to pass. And false prophets can be found anywhere. Even Ahab the king had 400 false prophets prophesying lies...Don't think i'm being denomination centred i worship at MFM!

2nd possibility If your sister and your entire family were perpetual, incurable and pathetic sinners then why waste your time going for prayers in the first place. With all due respect, wouldn't that be dumb. If you all wanted results from God wouldn't you seek to maintain his laws?

Anyway bro, you may have your mind fixed and i guess even God cannot convince you. May your conviction stand test of fire.

evaluate ∫(cosx/(2+cosx))dx

wia d auditors general dey na!

jackpot: Evaluate

lim_{x →∞}^{(sin x)}/_x

5Star tags: doubleDx, efficiencie, benbuks

Lim(sinx/x) as x→∞

Put x=2πn+θ
Where
Limx as x→∞
is equivalent to
Lim(2πn+θ) as n→∞

Hence the new limit problem is:

Lim(sin(2πn+θ)/(2πn+θ)) as n→∞

Since sin(2πn+θ)=sinθ for all real values of 'n' no matter how large!

Then Limsin(2πn+θ)=Limsinθ as n→∞

= Lim(sin(θ)/(2πn+θ)) as n→∞

= sin(θ)/Lim(2πn+θ)) as n→∞

= sin(θ)/(Lim(2πn)+θ)) as n→∞

= sin(θ)/(Lim(2πn)+θ)) as n→∞

= 0

(I luv dis Jackpot sister, she's on fire!)

jackpot: Nah, try again. In my calculator, both left and right limits →∞.

For example, my calculator's angle is on degree and
f(-0.01)=f(0.01)=29476.40118
f(-0.001)=f(0.001)=2947640.122
f(-0.0001)=f(0.0001)=294764012.2

it should be in RADIANS sweet heart...the derivative and integral of trig functions are usually in radians nt degrees!

jackpot:

lol! f(0)=0/0 na! abi!!