Part $1-$ Limits at Infinity

Calculate the following limits at infinity for the given function $f(x).$

If necessary, use $-$inf and inf to denote $-$ and $.$

Use DNE if a limit does not exist.

$f(x)=\frac{5x^3-9x+15}{-9x^4+6x+13}$

$\underset{x}{lim}f(x)=$

$\underset{x-}{lim}f(x)=$

Part $2-$ Horizontal Asymptotes

List any horizontal asymptotes for this function $f(x).$

If there are no asymptotes, enter NONE.

If there is more than one asymptote, give a comma separated list $($i$.$e$.1,2,$dots

The function $f(x)=\frac{5x^3-9x+15}{-9x^4+6x+13}$ has horizontal asymptote$($s$)y=$

Note: You can earn partial credit on this problem.