$($a$)$

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

$2$

$($b$)$

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

$2$

$($c$)$

lim$$x $3$g$($x$)$

$($d$)$

lim$$x $0$g$($x$)$

$$

$($e$)$

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

$$

$($f$)$ The equations of the asymptotes $($Enter your answers as a comma$-$separated list.$)$

vertical$$

$2,0,3$

horizontal$$

$0,1$