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: 119



Work Step by Step

For a limit to exist, it should attain the same value from both sides. While $f(x)=3$ at $x=2,$ the limit attains two values when approaching $x=2$. You get the limit equal to $3$ from the left and equal to $0$ from the right, hence the limit doesn't exist and $\lim\limits_{x\to2}f(x)\ne3$.
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