Calculus: Early Transcendentals 8th Edition

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

Chapter 2 - Section 2.6 - Limits at Infinity; Horizontal Asymptotes - 2.6 Exercises - Page 137: 3

Answer

a) -2 b) 2 c) $\infty$ d) $-\infty$ e) Horizontal Asymptotes: $y=2$, $y=-2$ Vertical Asymptotes: $x=3$, $x=1$

Work Step by Step

We see from the graph that: a) As x increases toward positive infinity, y tends toward: -2 b) As x decreases toward negative infinity, y tends toward: 2 c) As x moves toward 1, y tends toward: $\infty$ d) As x moves toward 3, y tends toward: $-\infty$ e) We see from parts a-d that the asymptotes occur at: Horizontal Asymptotes: $y=2$, $y=-2$ Vertical Asymptotes: $x=3$, $x=1$
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