Answer
$\lim\limits_{x\to0^-}\dfrac{|x|}{x}=-1.$
Work Step by Step
$\lim\limits_{x\to0^-}\dfrac{|x|}{x}=\dfrac{|0^-|}{0^-}=-1.$
Note: if we were approaching from the right, we would have gotten the limit to be $1$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 1 - Limits and Their Properties - 1.4 Exercises - Page 79: 13
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