Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 11 - Section 11.1 - Finding Limits Using Tables and Graphs - Exercise Set - Page 1142: 100

Answer

a. See graph. b. $\lim_{x\to2^-}f(x)=9$, $\lim_{x\to2^+}f(x)=7$; $\lim_{x\to2}f(x)$ does not exist.
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Work Step by Step

a. We can graph both functions on the same plot as shown in the figure. b. Based on the graph, we have $\lim_{x\to2^-}f(x)=9$ $\lim_{x\to2^+}f(x)=7$ Since $\lim_{x\to2^-}f(x)\ne \lim_{x\to2^+}f(x)$ We conclude that $\lim_{x\to2}f(x)$ does not exist.
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