Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 2 - Limits - 2.6 Trigonometric Limits - Exercises - Page 77: 25


$\frac{ 2\sqrt 2}{ {\pi} }$

Work Step by Step

\begin{align*} \lim _{t\rightarrow \frac{\pi}{4}} \frac{ \sin t}{t } &=\frac{ \sin \frac{\pi}{4}}{ \frac{\pi}{4} }\\ &=\frac{ \sqrt 2}{ 2\frac{\pi}{4} }\\ &=\frac{ 2\sqrt 2}{ {\pi} }. \end{align*}
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