Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.3 Exercises - Page 68: 91

Answer

$\lim\limits_{x \to 0}$ |x| sinx = 0

Work Step by Step

The function is squeezed between y=|x| and y=-|x|. According to the Squeeze Theorem, since y=|x| and y=-|x| are zero as the main function is getting closer to zero from both sides, that means the limit is zero.
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