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

limx$$x$9+$x$23$x$312=[$ Select $]["$negative infinity", "infinity", "DNE", $"1","$pi$"]$

$($x approach negative infinity of $($x$^9$ plus pi x$^2$ minus $3$ x$^3$ minus $12))$