For the piecewise linear function $f(x)$ graphed below, find the following. $($If an answer does not exist, enter DNE.$)$

$($i$)$

$($a$)\underset{x{2}^{-}}{lim}f(x)$

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

$($c$)\underset{x2}{lim}f(x)$

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