Answer
$f(1)=0$
Work Step by Step
$\lim\limits_{x \to 1}\frac{x^2-2x+1}{x-1}=\lim\limits_{x \to 1}\frac{(x-1)^2}{x-1}=\lim\limits_{x \to 1}(x-1)=0$
Define $f(1)=0$
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