Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Review Exercises: 16

Answer

$\lim\limits_{x\to7}(x-4)^3=27.$

Work Step by Step

By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$ $\lim\limits_{x\to7}(x-4)^3=(\lim\limits_{x\to7}(x-4))^3=(7-4)^3=27.$
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