PLEASE I NEED SOMEONE TO HELP WITH THE SOLUTION

The domain of the function b(i) is R\{2,3}. Where R is the set of Real Numbers.
The function b(ii) is defined for all Real x < 2.

finebois:
PLEASE I NEED SOMEONE TO HELP WITH THE SOLUTION

lim of f(x) as x approaches 1 is given by
Lim (x²-1)/(x-1) = lim(x-1)(x+1)/(x-1) = 1+1 =2....

Since Lim of f(x) exists.. ..and f(x) exists at 1 and also
F(x) = limf(x)..... F(x) is continuous...

Icosahedron:
The domain of the function b(i) is R\{2,3}. Where R is the set of Real Numbers.
The function b(ii) is defined for all Real x < 2.

II. 4-x² >_ 0.... 4 >_ x²..... +/- 2 >_ x.. ..

It's a close interval of [-2,2]

thanks

Icosahedron:
The domain of the function b(i) is R\{2,3}. Where R is the set of Real Numbers.
The function b(ii) is defined for all Real x < 2.

b(i) All real no except 2,3

phemmyfour:
b(i) All real no except 2,3

Is that not similar to what I wrote up there?

To solve this question, you need to have an understanding of :
1) continuity.
2) the fact that differentiability implies continuity.
3) differentiability.
4) the intermediate value theorem.

pls help

A utility company has a small power plant that can produce a kilowatt hours of electricity daily at a cost of 10 - x/10^5 cents each for 0 < x < 8 x 10^5. Consumers will use 10^5(10 - p/2) kilowatt hours of electricity daily at a price of p cents per kilowatt hour. What price should the utility charge to maximize its profit?

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