Thomas' Calculus 13th Edition

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

Chapter 2: Limits and Continuity - Questions to Guide Your Review - Page 99: 8

Answer

$\lim\limits_{θ \to 0} \frac{sin θ}{θ} = 1 $

Work Step by Step

$\lim\limits_{θ \to 0} \frac{sin θ}{θ} = 1 $ provided that θ is measured in radians . If we are given values in degree , then we have to convert in radians in order to get a standard value. If in case θ in both numerator and denominator is given in degree then it will not effect the answer.
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