Given that

$$lim$$x$3$f$($x$)=1$lim$$x$3$g$($x$)=2$lim$$x$3$h$($x$)=0,$

find each limit$,$ if it exists. $($If an answer does not exist, enter DNE.$)$

$($a$)$

lim$$x$3[$f$($x$)+4$g$($x$)]$

$($b$)$

lim$$x$3[$g$($x$)]3$

$($c$)$

lim$$x$3$

f$($x$)$

$($d$)$

lim$$x$3$

$4$f$($x$)$g$($x$)$

$($e$)$Given that

$$lim$$x$3$f$($x$)=1$lim$$x$3$g$($x$)=2$lim$$x$3$h$($x$)=0,$

find each limit$,$ if it exists. $($If an answer does not exist, enter DNE.$)$

$($a$)$

lim$$x$3[$f$($x$)+4$g$($x$)]$

$($b$)$

lim$$x$3[$g$($x$)]3$

$($c$)$

lim$$x$3$

f$($x$)$

$($d$)$

lim$$x$3$

$4$f$($x$)$g$($x$)$

$($e$)$

lim$$x$3$

g$($x$)$h$($x$)$

$($f$)$

lim$$x$3$

g$($x$)$h$($x$)$f$($x$)$

lim$$x$3$

g$($x$)$h$($x$)$

$($f$)$

lim$$x$3$

g$($x$)$h$($x$)$f$($x$)$