University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 2 - Section 2.2 - Limit of a Function and Limit Laws - Exercises - Page 66: 10


Can not conclude anything about $\lim\limits_{x \to 1}f(x)$ until we know the values of function f(x) near x = 1.

Work Step by Step

The existence and non-existence of the limit as x approaches to c does not depend on whether the function is defined or not defined at x=c. So, if $f(1) = 5$, it is not necessary that the limit should exist as x approaches 1.
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.