Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Section 3.5 - Derivatives of Trigonometric Functions - Exercises 3.5 - Page 142: 53

Answer

$0$

Work Step by Step

$\lim_{t\to0}tan(1-\frac{sin(t)}{t})=tan(1-\lim_{t\to0}\frac{sin(t)}{t})=tan(1-1)=tan(0)=0$
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