Calculate the limit algebraically. $($If an answer does not exist, enter DNE.$)$

lim$$x$25(2$x $+3$

x

$)$

If the limit does not exist, say why. $($If the limit does exist, so state.$)$

The limit does not exist because one side diverges to and the other side diverges to $$$.$The limit does not exist because it diverges to or $$$.$ The limit does not exist because the left and right limits exist but are not the same finite value.The limit does not exist because only one of the left or right limits exists as a finite value.The limit does exist and is a finite number.