Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.6 Calculating Limits Using the Limit Laws - 1.6 Exercises: 31

Answer

$3x^2$

Work Step by Step

$\lim\limits_{h \to 0}\frac{(x+h)^3-x^3}{h}=\lim\limits_{h \to 0}\frac{x^3+3x^2h+3xh^2+h^3-x^3}{h}=\lim\limits_{h \to 0}3x^2+3xh+h^2=3x^2+3x(0)+(0)^2=3x^2$
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