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 105: 11

Answer

$$1$$

Work Step by Step

Given $$\lim_{x\to\infty}\cos \left(\frac{1}{x}\right) $$ Then \begin{align*} \lim_{x\to\infty}\cos \left(\frac{1}{x}\right) &=\cos \left(\lim_{x\to\infty}\frac{1}{x}\right) \\ &=\cos (0)\\ &=1 \end{align*}
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