Answer
1
Work Step by Step
$|x|=x$ if $x\geq0$
$|x|=-x$ if $x\lt0$
Given that $x-1\ge0$, if $x\gt1$:
$|x-1|=x-1$
$\frac{|x-1|}{x-1}=\frac{x-1}{x-1}=1$
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