Answer
There is a discontinuity at $x=1.$
Work Step by Step
The domain of $g$ is all real numbers.
At $x=1$, the left limit is $0$, and the right limit is $2$, so the limit doesn't exist there.
There is a discontinuity at $x=1.$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
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: 34
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