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: 2

Answer

a) $\lim\limits_{x \to -\infty}f(x) = 2$ b) $\lim\limits_{x \to \infty}f(x) =0$

Work Step by Step

a) The function appears to be trending towards 2 from below as x gets smaller. We assume this trend continues and therefore that as the function approaches negative infinity, its value approaches 2 b) The function appears to be trending towards but not quite reaching 0 as x increases, so we assume this trend continues and that as the function approaches infinity, its value approaches 0
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.