Chapter 2.2, Problem 27E

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

  27.     $f\left(x\right)=\frac{x-2}{\ln \left|x-2\right|};a=2$