Use the graph of $g(x),$ provided below, to evaluate the following:

$($a$)\underset{x{1}^{-}}{lim}g(x)$

$($b$)\underset{x{1}^{+}}{lim}g(x)$

$($c$)\underset{x1}{lim}g(x)$

$($d$)g(1)$

$($e$)\underset{x{2}^{-}}{lim}g(x)$

$($f$)\underset{x{2}^{+}}{lim}g(x)$

$($g$)\underset{x2}{lim}g(x)$

$($h$)g(2)$

$($i$)$ Is function $g(x)$ continuous at $x=1,$ why or why not?

$($j$)$ Is function $g(x)$ continuous at $x=2,$ why or why not?