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: 17

Answer

The function $\frac{1}{x}$ is discontinuous at $ x=0$ and the discontinuity is infinite. The function is neither left or right continuous.

Work Step by Step

The function $\frac{1}{x}$ is discontinuous at $ x=0$. Since $\lim\limits_{x \to 0}=\infty $, then the discontinuity is infinite. The function is neither left or right continuous.
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