Answer
$$\lim_{x\to0}\frac{(x+h)^2-x^2}{h}=h$$
Work Step by Step
$$A=\lim_{x\to0}\frac{(x+h)^2-x^2}{h}$$
$$A=\frac{(0+h)^2-0^2}{h}$$
$$A=\frac{h^2}{h}=h$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 2 - Practice Exercises - Page 111: 14
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