Answer
There is a discontinuity when $a=1$
The limit $\lim\limits_{x \to 1}k(x)$ does not exist.
Work Step by Step
We are given $k(x)=\ln|\frac{x}{x-1}|$
There is a discontinuity when $a=1$
The limit $\lim\limits_{x \to 1}k(x)$ does not exist.
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 3 - The Derivative - 3.2 Continuity - 3.2 Exercises - Page 147: 17
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