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 1140: 66

Answer

$$\lim_{x \to 1 }g(x)=-\frac{3}{2}$$
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Work Step by Step

Please note that the graph of $g(x)$ is the graph of $f(x)$ horizontally stretched by $\frac{1}{2}$. To find $\lim_{x\to 1 }g(x)$, examine the graph of $g$ near $x=1$. As $x$ gets closer to $1$, the values of $g(x)$ get closer to $-\frac{3}{2}$. We conclude from the graph that$$\lim_{x \to 1 }g(x)=-\frac{3}{2}.$$
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