Let $f(x)=\frac{x^2-5x+6}{x^2-2x}$

$($a$)$ Analyze $\underset{x{0}^{-}}{lim}f(x),\underset{x{0}^{+}}{lim}f(x),\underset{x{2}^{-}}{lim}f(x),$ and $\underset{x{2}^{+}}{lim}f(x).$

$($b$)$ Identify and describe any points of discontinuity of $f(x)$ over the interval $(-,).$

$($c$)$ Describe how the graph of $f(x)$ will appear at the points $x=0$ and $x=2.$