# Thread: Need help evaluating the limit.

1. ## Need help evaluating the limit.

I have a question that says,
Evaluate the following limit-
limit as h-->1 (x^3000 - 1) / (x-1)

Thank-you.
-Paul

2. Originally Posted by paulchondo
I have a question that says,
Evaluate the following limit-
limit as h-->1 (x^3000 - 1) / (x-1)

Thank-you.
-Paul
Since it does not depend on $\displaystyle h$, the limit is $\displaystyle \frac{x^{3000} - 1}{x - 1}$.

3. I'll assume you meant $\displaystyle \lim_{x \to 1} \ \frac{x^{3000}-1}{x-1}$

$\displaystyle = \lim_{x \to 1} \frac{(x-1)(x^{2999} +x^{2998}+....+x+1)}{x-1} = 3000$