Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 2 - Section 2.6 - Limits at Infinity; Horizontal Asymptotes - 2.6 Exercises - Page 137: 10

Answer

$\lim\limits_{x \to 3}f(x) = -\infty$ $\lim\limits_{x \to \infty} = 2$ $f(0) = 0$ $f$ is even

Work Step by Step

$\lim\limits_{x \to 3}f(x) = -\infty$ As $x$ approaches $3$ from the left and the right, the value of the function becomes larger magnitude negative numbers. $\lim\limits_{x \to \infty} = 2$ As $x$ approaches larger magnitude positive numbers, the value of the function gets closer and closer to 2 $f(0) = 0$ $f$ is even That is, $f(-x) = f(x)$ for all values of $x$ The graph is reflected about the y-axis.
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