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: 18


$|x|$ is continuous and has no points of discontinuity.

Work Step by Step

Since $\lim\limits_{x \to 0}|x|=0=|0|$, then the function $|x|$ is continuous at $ x=0$ and hence continuous on $ R $ and has no points of discontinuity.
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