Need help evaluating the limit.

May 2010
1
0
I have a question that says,
Evaluate the following limit-
limit as h-->1 (x^3000 - 1) / (x-1)

Thank-you.
-Paul
 

Prove It

MHF Helper
Aug 2008
12,883
4,999
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 \(\displaystyle \frac{x^{3000} - 1}{x - 1}\).
 
May 2009
959
362
I'll assume you meant \(\displaystyle \lim_{x \to 1} \ \frac{x^{3000}-1}{x-1} \)

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