Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.1 - Limits: Numerical and Graphical Viewpoints - Exercises - Page 699: 32d

Answer

$\displaystyle \lim_{\mathrm{x}\rightarrow 0}f(x)$ does not exist.

Work Step by Step

Follow the steps in "Evaluating Limits Graphically" (step 5: determine if the limit at x=a exists) In parts (b) and (c) we found that neither of the one sided limits exist, so the limit does not exist. The one-sided limits do not diverge to the same sides: the left diverges to $-\infty ,$ the right to $+\infty$, so we just state that $\displaystyle \lim_{\mathrm{x}\rightarrow 0}f(x)$ does not exist.
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.