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

$\underset{x-2^{}}{lim}\frac{x^{2}9}{x^{2}3x2}$

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

The limit does exist because it approaches $$ or $-.$

The limit does not exist because the function is not defined to the right of $-2.$

The limit does not exist because it diverges to $$ or $-.$

The limit does not exist because the function is not defined to the left of $-2.$

The limit does exist and is a finite number.