Let

f$($t$)=$

$2$t$4+$ t$311$t$3+9$t$4$

$.$ Find the following limits$.$ If an answer does not exist, enter DNE.

$($a$)$

lim$$t$$$$f$($t$)$

$=$

$29$

$($b$)$

lim$$t$1$f$($t$)$

$=$

$320$

$($c$)$

lim$$t$0$f$($t$)$

$=$