Chapter 2.2, Problem 32E

Estimating limits graphically and numerically Use a graph of f estimate $\underset{x\to a}{\lim }f\left(x\right)$or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture.

32.     $f\left(x\right)=\frac{x^3-4x^2+3x}{\left|x-3\right|};a=3$