Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.5 Derivatives of Trigonometric Functions - 3.5 Exercises: 54

Answer

\[ = 0\]

Work Step by Step

\[\begin{gathered} \mathop {\lim }\limits_{x \to \infty } \,\,\frac{{\cos x}}{x} \hfill \\ \hfill \\ evaluate\,\,\,x = \infty \hfill \\ \hfill \\ = \mathop {\lim }\limits_{x \to \infty } \,\,\frac{{\cos \infty }}{\infty } \hfill \\ \hfill \\ \,\,where\,\,\cos \,\,\infty \,\,oscillates\,between\,\,\,\left( { - 1\,\,to\,\,1} \right) \hfill \\ \hfill \\ then \hfill \\ \hfill \\ = \frac{a}{\infty } \hfill \\ \hfill \\ = 0 \hfill \\ \end{gathered} \]
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