Answer
$ k(x)$ is not continuous at $ x=1$
Work Step by Step
Given $ y=k(x)$ graphed in the figure, we see that:
$\lim\limits_{x \rightarrow 1} k(x)$ does not exist as the one-sided limits are not equal.
So, $ k(x)$ is not continuous at $ x=1$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 2: Limits and Continuity - Section 2.5 - Continuity - Exercises 2.5 - Page 84: 4
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