Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 14 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Chapter Review - Review Exercises - Page 907: 25

Answer

no limit.

Work Step by Step

As $x$ gets closer and closer to $0$ from the left, the $y$-values get closer and closer to $4$ but as $x$ gets closer and closer to $0$ from the right, the $y$-values get closer and closer to $1$. Hence because the limits from the two sides are not equal, there is no limit.
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