x$)=$

$$x$$if x $<13$if x $=12$ x$2$if $1<$ x $2$x $3$if x $>2$

$.$

$($a$)$

Evaluate each of the following, if it exists. $($If an answer does not exist, enter DNE.$)$

$($i$)$

lim$$x$1$g$($x$)$

$($ii$)$

lim$$x$1$g$($x$)$

$($iii$)$

g$(1)$

$($iv$)$

lim$$x$2$g$($x$)$

$($v$)$

lim$$x$2+$g$($x$)$

$($vi$)$

lim$$x$2$g$($x$)$