Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 2 - Section 2.5 - Continuity - 2.5 Exercises - Page 124: 1

Answer

$\lim\limits_{x\to4}f(x)=f(4)$

Work Step by Step

$\lim\limits_{x\to4}f(x)=f(4)$ shows that function $f$ is continuous at $4$ since it satisfies 3 conditions of continuity: - $\lim\limits_{x\to4}f(x)$ exists. - $f(4)$ is defined ($4$ is in the domain of $f$) - $\lim\limits_{x\to4}f(x)=f(4)$
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