Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 2: Limits and Continuity - Section 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 56: 7


No, nothing can be proved about the existence of the limit.

Work Step by Step

As the existence of limit depends on the values of $f(x)$ near $x= c$. and when it approaches to a single value $l$, then the function has a limit $l\lim\limits_{x \to c} f(x)=l$ Hence, the existence of the limit can not be determined accurately.
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.