Answer
$50$
Work Step by Step
$\lim_{x\to1}\frac{x^{50}-1}{x-1}=f'(x)|_{x=1}$ where $f(x)=x^{50}$, thus $f'(x)=50x^{49}$ and $\lim_{x\to1}\frac{x^{50}-1}{x-1}=50x^{49}|_{x=1}=50$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 3: Derivatives - Section 3.3 Differentiation Rules - Exercises 3.3 - Page 126: 55
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