Answer
True
Work Step by Step
True.
Let $g(x)=x^5$.
Then,
$g'(x)=5x^4$ (Substitute $x=2$)
$g'(2)=5\cdot 2^4$ (Use the definition of a derivative)
$\lim\limits_{x \to 2}\frac{g(x)-g(2)}{x-2}=80$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 3 - Review - True-False Quiz - Page 269: 15
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