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: 59

Answer

$$\lim_{x \to 3 }g(x)=3$$
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Work Step by Step

Please note that the graph of $g(x)$ is the graph of $f(x)$ shifted up two units. To find $\lim_{x\to 3 }g(x)$, examine the graph of $g$ near $x=3$. As $x$ gets closer to $3$, the values of $g(x)$ get closer to $3$. We conclude from the graph that$$\lim_{x \to 3 }g(x)=3.$$
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