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: 115

Answer

False.

Work Step by Step

As $x$ tends to zero, the value the limit takes differs depending on which side you are approaching zero from. If you are approaching $0$ from the left, you get the limit to equal $-1.$ If you are approaching $0$ from the right, you get $+1.$ These kind of problems will be given specific terminology and will be studied thoroughly in the next section. This specific question was also dealt with in Sec $1.2$ Example $3.$
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