Consider the following function: g(x)=x|x-1|/(x-1), if x≠1, 0 if x=1. Evaluate lim x→1(+) g(x) and..

Consider the following function: g(x)=x|x-1|/(x-1), if x≠1, 0 if x=1.
a) Evaluate lim x→1(+) g(x) and lim x→1(-) g(x), and then determine whether lim x→1g(x) exists.
b) Sketch the graph of g(x), and identify any points of discontinuity