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 - 1.3 Exercises: 23

Answer

$a) 4.$ $b) 64.$ $c)64.$

Work Step by Step

a) By Theorem $1.3: $ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to1}(5-x)=5-1=4.$ b)By Theorem $1.3: $ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to4}x^3=4^3=64.$ c)By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$ $\lim\limits_{x\to1}g(f(x))=g(\lim\limits_{x\to1}f(x))=g(4)=64.$
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