Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 3 - The Derivative - 3.1 Limits - 3.1 Exercises - Page 135: 1

Answer

c

Work Step by Step

See: Existence of Limits ...3. If $\displaystyle \lim_{x\rightarrow a^{-}}f(x)=L$ and $\displaystyle \lim_{x\rightarrow a^{+}}f(x)=M$, and $L\neq M$, then $\displaystyle \lim_{x\rightarrow a}f(x)$ does not exist. $\displaystyle \lim_{x\rightarrow 2^{-}}f(x)\neq \displaystyle \lim_{x\rightarrow 2^{+}}f(x)$, so $\displaystyle \lim_{x\rightarrow 2}f(x)$ does not exist.
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