Calculus 10th Edition

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

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 $1$.
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