Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.1 - Limits: Numerical and Graphical Viewpoints - Exercises - Page 699: 33a

Answer

$\lim\limits_{x \to \ -1}f(x)=-1$

Work Step by Step

In order to obtain the limit of $\lim\limits_{x \to \ -1} f(x)$ we have to first look at both one-sided limits. We only have to consider the limits, not the value of $f(-1)$. As we trace the graph, both of these aforementioned limits exist and they are equal: $\lim\limits_{x \to \ -1^{+}}f(x)=-1$ $\lim\limits_{x \to \ -1^{-}}f(x)=-1$ Therefore the $\lim\limits_{x \to \ -1}f(x)$ exists and equals to $-1$.
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