Exercise $1\mathrm{.}6.($Bilodeau et al$.,$ Section $3\mathrm{.}3,1$a$,3$ceg$)$

Determine if the limit exists, and the value of the limit when it does exist.

$($a$)\underset{x0}{lim}\frac{x^2}{|x|}$

$($b$)\underset{x2}{lim}\frac{x-2}{|x^2-7x+10|}$

$($c$)\underset{x{5}^{-}}{lim}\frac{x-2}{x^2-7x+10}$

$($d$)\underset{x-}{lim}\frac{x-2}{|x-5|}$