# How do you find the vertical, horizontal and slant asymptotes of: #f(x)= x^3 / (x^2-1)#?

##### 1 Answer

Oct 21, 2016

The vertical asymptotes are

The slant asymptote is

#### Explanation:

Firstly the domain of

is

since we cannot divide by zero

so

So

A clant asymptote exists only if the degree of the numerator is greater than that of the numerator

We can do a long division

So the slant asymptote is