@ J-UNIT

Reverse psychology at its best.

@ Bawomolo

You are 40% right.

if 0<r<1, then 1/r >1 and we apply l'hospital to the function f(x) = x/(1/r)^x. Hence lim x tends to infinity of f(x) = 0.

Hence, if 0<r<1 then the limit as n tends to infinity of a_n = the limit as n tends to infinity of of nrⁿ which is all equal to 0, therefore a_n is convergent.

If -1<r<0 then by the first case |a_n| tends to 0 and hence a_n tends to 0.

if r=0 then a_n=0 and a_n converges.

if r>1 then a_n=nrⁿ >n and so a_n diverges
if r<-1 then a_n=n(-1)ⁿ diverges

Hence, the sequence converges whenever |r|<1.

A-40:

We are cool with 3rd place for now but it is very important for yall to know that your position on matchday 33 is not what counts it is our position after matchday 38 that counts.No one can convince me that we can't still win this title with a half-fit Vida and Rio defence at OT we should bust our balls and get that win, but what matters is tomorrow's game focus will be key and an early goal scored by us will be crucial we definitely have to get it while the getting is good go with a gameplan and execute it to the teeth knaah mean.I advice Wenger to play a tape of Shaggy's endless hope before each game those boys need to be psyched up whatever happened to the huddle that we used to have after each game?

True, an early goal will be very crucial, we could go on to win the game 2 nil, 3 nil, once we score the first goal of the game, we automatically open their defence because they will do all they can to equalize. So an early goal would be very vital tomorrow. Even if the goal is not early, it will be very important that we score first.

bawomolo:

this series never converges since it doesn't approach zero.

Wrong

oh wait let me guess. can't it convert for -1<r<1 ?

close, you need to be more precise and you also have to show your workings.

If it's not algebra, then what is it? Geometry? Trigonometry? Someone had to put something challenging up here. Anyway I need people to try before I show you how it's done, that's if no one gets it right.
The question is:

For which values of r is the following sequence convergent?
a_n=nrⁿ

For which values of r is the following sequence convergent?
a_n=nrⁿ

Integrate: xlnx

He should get a good agent.

I won't mind any of the English teams for Arsenal. It would be better to play an easier team in the final.

My Prediction Inter Milan 3 -0 Liverpool

If Nigeria happened to be a country that always gets beaten in football and are actually one of the worst teams in world football, would you cease to support Nigeria in football?

And the fact that we are on top of the EPL? Is that also in the past? typical manure, igbe Malu

I tried to compare but hey, they are not on top of the league table, they did not recently beat Milan to progress into the Quarter finals of the UCL so there is no similarity whatsoever.

presido1:

The last time i checked we are still the Yampions(like ma calabar bros) and you have not touched the Trophy for 3 good years going to 4.
So tell me who should be ashamed.

You seem to be spending most of ur time in the past, which happens to be a serious problem for you. At least you won't be saying things like this when Arsenal claims the double. Soon we will be hearing things like, last time I checked the last time we won the league was 2 seasons ago.

Olumide7:

Ok my bad ManU will be playing Derby on the 15th of March and my new prediction is that they'll be playing a 0-0 draw with Derby while Arsenal enjoys the aroma of a 4 Points lead before they ManU get that 1 point at Derby. And for the Record just because I made a mistake doesn't give you the right to insult me and classify all gunners as olodos and for the record its ManU 0 - 1 Portsmouth in the FA Cup, as long as I serve a living God, ahhhh!!!!!! in the mighty name of Jesus ManU will have trophyless season. And All true Gunners say ,

Hey, that was my prediction(ManU 1-1 Portsmouth) before the oracle told me that was not the case and as u can see, I changed my prediction the same day. Bad belle no go kill u!!!!!

Meldrick:

Despite some of his wins, Iam not happy with the coaching pattern of Grant. He has no style and has invented nothing new. His only buy (Anelka) has proved a great dissapointment. I feel he is unable to manage the big players at Stamford Bridge. The man who bought them (Mourinho) would have managed them better. Chelsea looks a club without a first team. Instead he keeps shuffling the players like a pack of card. Imagine the ignominous defeat by barnsley. How on earth will we crash out just at this stage of the FA Cup. The Carling cup was traditionally our birthright but Avram Grant again proved incapable. Abramovich should have a re-think

Just because a team crashes out of a tournament doesn't mean the coach should be sacked, your problem is that you have failed to realize the fact that in a competition there are competitors and every competitor wants to win, the competition was not designed for a particular team to win it every year but rather for every competitor to have fair chance of claiming the prize, the team that works the hardest will win, simple as that and for the record FOOTBALL IS NOT MATHEMATICS!!!!!!!!

Here are my Favourites: Spain,France, Holland, Switzerland & Croatia. Portugal can go out in the first round for all I care.

Yes, it was a draw, yes, we are 2 points ahead, yes, manure has a game in hand, so damn what? the fact of the matter still remains that Arsenal has got the double this season and for those that don't know about ME, I'm Olumide, Arsenal's resident psychic though not 100% accurate but I've made three predictions on this forum and 2 have been perfectly right. Let me refresh your memories Milan 0 - 2 Arsenal, this was my first prediction and I was spot on. Wigan 0-3 Arsenal 3, though wrong but if I had taken into consideration the status of the pitch at JJB, I would have predicted summin else.My final prediction was ManU 0 - 1 Portsmouth, guess what happened? the idiots did infact lose to Pompy. And for those (gunners) that are worried about the ManU game at Derby, do not worry its Derby 0-0 Manchester United.
Up Gunners.

Ok my bad ManU will be playing Derby on the 15th of March and my new prediction is that they'll be playing a 0-0 draw with Derby while Arsenal enjoys the aroma of a 4 Points lead before they ManU get that 1 point at Derby. And for the Record just because I made a mistake doesn't give you the right to insult me and classify all gunners as olodos and for the record its ManU 0 - 1 Portsmouth in the FA Cup, as long as I serve a living God, ahhhh!!!!!! in the mighty name of Jesus ManU will have trophyless season. And All true Gunners say ,

And what's bad in doing any of the above? If  a Nigerian guy finds any of the above to be cool, I don't see anyhting wrong in immitating it. It's not even wrong bibcally to do any of the above. My right ear is pierced, I have a stud on and I find it fashionable. Why don't u just say Nigerian guys should not use lotion that they should stick with petroleum jelly and stuff like that or they shouldn't use cologne. Come on, stop living in the past.

Have u forgotten that ManU will also be playing and they'll be playing a 1-1 draw with Portsmouth that makes us 3 points clear after beating wigan 3-0. Cheers

Can you rephrase your request?
Generate what phone numbers? with what?

A beginner should actually start with Turbo or Qbasic, C++ will break ur bone if u attempt to go onto it directly. Any ways it depends on the level of expertise you wanna reach, if u wanna be a big time programmer u have to start with foundational programming languages. On the question on which one is better, I go for Java though I can work comfortably with both, but Java has some interesting features that will make one hate C++ like Java's automatic garbage collection, platform independence and my personal favourite, the ease of creating GUI's.

Oh does he want it that way? this one loops through the entire year, well let him just specify what he wants first before I do anything.

My predictions are always 95% right Wigan 0 - 3 Arsenal. Not only do I predict Arsenal victories but I also predict Manchester Defeats so come this weekend it is Manu 1 - 1 Protsmouth, sorry guys I know u'll prefer it if manu loses but I can only predict what I'm feeling. At least Arsenal will be a solid 3 points ahead of manu.

Ok, here it is, paste it in the <body> section of your page
Hope it helps.




<script language="javascript">
<!--
function day_title(day_name){
document.write("<TD ALIGN=center WIDTH=35>"+day_name+"</TD>"
}

function fill_table(month,month_length)
{
day=1

document.write("<TABLE BORDER=3 CELLSPACING=3 CELLPADDING=%3><TR>"
document.write("<TD COLSPAN=7 ALIGN=center><B>"+month+" "+year+"</B><TR>"

day_title("Sun"
day_title("Mon"
day_title("Tue"
day_title("Wed"
day_title("Thu"
day_title("Fri"
day_title("Sat"

document.write("</TR><TR>"
for (var i=1;i<start_day;i++){
document.write("<TD>"
}

for (var i=start_day;i<8;i++){
document.write("<TD ALIGN=center>"+day+"</TD>"
day++
}
document.write("<TR>"

while (day <= month_length) {
for (var i=1;i<=7 && day<=month_length;i++){
document.write("<TD ALIGN=center>"+day+"</TD>"
day++
}
document.write("</TR><TR>"

start_day=i
}
document.write("</TR></TABLE><BR>"
}


</script>

<script language="javascript">


year=2008


today= new Date("January 1, "+year)
start_day = today.getDay() + 1 // starts with 0
fill_table("January",31)
fill_table("February",29)
fill_table("March",31)
fill_table("April",30)
fill_table("May",31)
fill_table("June",30)
fill_table("July",31)
fill_table("August",31)
fill_table("September",30)
fill_table("October",31)
fill_table("November",30)
fill_table("December",31)
</script>

I can write a javaScript code for you that u'll just have to copy and paste into your website if interested drop ur e-mail.

That's a good idea prodgalson. I like challenges like these.

As a programmer who works with both and a big fan of vb I'll say VB.NET is the answer to all three questions

ok since I'm getting so good at my predictions, I think its time everyone knows the outcome of the game at Wigan this weekend.
Wigan 0 - 3 Arsenal (Van Persie on the Score Sheet).