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 - Page 92: 8

Answer

a) $\infty$ b) $-\infty$ c) $\infty$ d) $-\infty$ e) $x=-3, x=-1, x=2$

Work Step by Step

a) As $x$ approaches $-3$ from both sides, $A(x)$ moves towards infinity. b) As $x$ approaches $2$ from the left hand side, $A(x)$ moves towards negative infinity. c) As $x$ approaches $2$ from the right hand side, $A(x)$ moves towards infinity. d) As $x$ approaches $-1$ from both sides, $A(x)$ moves towards negative infinity. e) The vertical asymptotes are the vertical lines that the graph moves towards but never touches. This is at $x=-3, x=-1, x=2$.
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