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 2.5 - Continuity - Exercises 2.5 - Page 84: 19

Answer

$ y $ is continuous on $$(-\infty,0)\cup(0,\infty)$$

Work Step by Step

Given $$ y=\frac{\cos x}{x} $$ The denominator is zero at $ x=0$ and $\cos x $ is defined on $ R $. So, $ y $ is continuous on $$(-\infty,0)\cup(0,\infty)$$ (All values except 0).
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