Answer
2x
Work Step by Step
$\lim\limits_{h \to 0}\frac{(x + h)^{2}-x^{2}}h = \lim\limits_{h \to 0}\frac{(x+h-x)(x+h+x)}{h}= \lim\limits_{h \to 0} \frac{h(2x +h)}{h}=2x$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 137: 41
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