Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 1 - Limits and Continuity - 1.6 Continuity of Trigonometric Functions - Exercises Set 1.6 - Page 106: 29

Answer

$$\infty$$

Work Step by Step

Given $$\lim _{x\to 0^+ }\sin\left(\frac{1}{x}\right) $$ Then \begin{align*} \lim _{x\to 0 }\sin\left(\frac{1}{x}\right) &= \sin\left(\lim _{x\to 0} \left(\frac{1}{x}\right) \right)\\ &=\infty \end{align*}
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