Answer
See proof below.
Work Step by Step
Since $\lim\limits_{x \to 1^+}\frac{1}{x-1}=+\infty $ and $\lim\limits_{x \to 1^-}\frac{1}{x-1}=-\infty $
The left-hand and right-hand limits do not match, so the limit does not exist.
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 2.2 - Limit of a Function and Limit Laws - Exercises 2.2 - Page 56: 6
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