SHOW FULL STEP S

Evaluate $\underset{?}{lim}f(x)$ and $\underset{?}{lim}f(x)$ for the following function. Then give the horizontal asymptote of $f($if any$)$

$f(x)=\frac{x^2-8x9}{3x^{2}2}$

Evaluate $\underset{x}{lim}f(x).$ Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A$.\underset{?}{lim}f(x)=($Simplify your answer.$)$

B$.$ The limit does not exist and is neither $$ nor $-.$

Evaluate $\underset{x-}{lim}f(x).$ Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A$.\underset{x-}{lim}f(x)=($Simplify your answer.$)$

B$.$ The limit does not exist and is neither $$ nor $-.$

Identify the horizontal asymptote$($s$).$ Select the correct choice and, if necessary, fill in the answer box$($es$)$ to complete your choice.

A$.$ The function has one horizontal asymptote, $$

$($Type an equation.$)$

B$.$ The function has two horizontal asymptotes. The top asymptote is $$ and the bottom asymptote is $$

$($Type equations.$)$

C$.$ There function has no horizontal asymptotes.