Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 11

Answer

$\lim\limits_{x \to a} f(x)$ exits for each $a$, except for $a = -1$.
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Work Step by Step

$ \lim\limits_{x \to -1^{-}} f(x) = 0$ and $\lim\limits_{x \to -1^{+}} f(x) = 1$ $ \lim\limits_{x \to -1^{-}} f(x) \ne \lim\limits_{x \to -1^{+}} f(x)$. The limit of $ \lim\limits_{x \to -1} f(x)$ does not exist if $x = -1$.
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