Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 67: 28

Answer

The function $ f(x) $ is discontinuous at $ x=0$. The discontinuity here is neither jump, removable nor infinite.

Work Step by Step

The function $\cos \frac{1}{x}$ oscillates around $x=0$ and is discontinuous at $ x=0$. The discontinuity here is neither jump, removable, nor infinite. The function is neither left nor right continuous.
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.