Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.2 - Limits and Continuity - Exercises - Page 707: 24

Answer

None.

Work Step by Step

Graphing (see image below), and creating a table where values approach $x=a$ from either side, we see that the limit at $0$ does not exist (approaching from the left, function values increase towards $+\infty$, and from the right, they fall to $-\infty$). No number can be assigned to $f(0)$ to make the function continuous.
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