Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.3 Limits At Infinity; End Behavior Of A Function - Exercises Set 1.3 - Page 78: 3

Answer

a) $\lim\limits_{x \to -\infty}f(x) = 0$ b) $\lim\limits_{x \to +\infty}f(x) = -1$

Work Step by Step

a) We see that as x decreases, the function gets closer and closer to 0 from above but does not reach it. We therefore assume that as x grows infinitely small, the function trends towards 0 b) We see that as x increases, the function starts to grow closer and closer to -1 from below but does not reach it. We therefore assume that as x grows infinitely large, the function trends towards -1
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