Question 1081845
{{{(-x^2+5x-3)/(1-x)}}}


No limit as x approaches 1.  Check the signs around the asymptote of x=1; function goes in opposite directions toward this from each side.  (Also numerator is not factorable).
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{{{(-1)(x^2-5x+3)/((-1)(x-1))}}}


{{{(x^2-5x+3)/(x-1)}}}



{{{graph(400,400,-5,5,-5,5,(x^2-5x+3)/(x-1))}}}