Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Section 2.2 - The Limit of a Function - 2.2 Exercises: 9

Answer

a) $-\infty$ b) $\infty$ c) $\infty$ d) $-\infty$ e) $\infty$ f) $x=-7, x=-3, x=0, x=6$

Work Step by Step

a) As $x$ approaches $-7$ from both sides, $f(x)$ approaches $-\infty$. b) As $x$ approaches $-3$ from both sides, $f(x)$ approaches $\infty$. c) b) As $x$ approaches $0$ from both sides, $f(x)$ approaches $\infty$. d) As $x$ approaches $6$ from the left hand side, $f(x)$ approaches $-\infty$.. e) As $x$ approaches $6$ from the right hand side, $f(x)$ approaches $\infty$ f) The vertical asymptotes are the vertical lines that the graph moves towards but never touches. This is at $x=-7, x=-3, x=0, x=6$.
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