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: 64

Answer

$$\lim_{x \to 3^+ }g(x)=-2$$

Work Step by Step

Please note that the graph of $g(x)$ is the graph of $f(x)$ reflected about the $x$-axis and then vertically stretched by $2$. To find $\lim_{x\to 3^+ }g(x)$, examine the graph of $g$ near $x=3$. As $x$ gets closer to $3$ from the right, the values of $g(x)$ get closer to $-2$. We conclude from the graph that$$\lim_{x \to 3^+ }g(x)=-2.$$
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