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 - 1.2 Exercises - Page 55: 21

Answer

There is no limit for this function. (Does not exist)

Work Step by Step

As we get close to x=0 from the left the graph of the function oscillates infinitely many times between 1 and -1. The same is happening when we get close to x=0 from the right. Since the graph oscillates continuously between 1 and -1 the limit at x=0 does not exist.
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