Answer
$\lim\limits_{x\to3^-}\dfrac{|x-3|}{x-3}=-1.$
Work Step by Step
$\lim\limits_{x\to3^-}\dfrac{|x-3|}{x-3}=\dfrac{|3^--3|}{3^--3}=\dfrac{0^+}{0^-}=-1.$
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