# What are the asymptotes for #(x-4)/(16x-x^3)#?

##### 1 Answer

The vertical asymptotes are

The horizontal asymptote is the line

.

#### Explanation:

Set the denominator

Factor out

Factor to get

The horizontal asymptote is

because as

The vertical asymptotes are

The horizontal asymptote is the line

.

Set the denominator

Factor out

Factor to get

The horizontal asymptote is

because as