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: 20



Work Step by Step

\begin{align*} \lim _{t \rightarrow 0} \frac{ \sin^2 t}{t}&=\lim _{t \rightarrow 0} \frac{\sin t}{t}\sin t\\ &=\lim _{t \rightarrow 0} \frac{\sin t}{t}\lim _{t \rightarrow 0}\sin t\\ &=0. \end{align*}
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