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: 22



Work Step by Step

\begin{align*} \lim _{t\rightarrow \frac{\pi}{2}} \frac{ 1-\cos t }{t }&= \frac{ 1-\cos \frac{\pi}{2} }{\frac{\pi}{2} }\\ &=\frac{ 1-0 }{\frac{\pi}{2} }\\ &=\frac{2}{\pi}. \end{align*}
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