How to fix two singularities

Calculus Level 1

Given that f(x)=1x1f(x) = \dfrac1{x-1} and g(x)=3x23x+2g(x) = \dfrac3{x^2-3x+2} , find limx1f(x)g(x) \displaystyle \lim_{x\to1} \dfrac{f(x)}{g(x)} .

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