# How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)=(x^3-x)/(x^3-4x)#?

##### 1 Answer

Nov 4, 2016

#### Answer:

The vertical asymptotes are

The horizontal asymptote is

#### Explanation:

Let's do some simplification

As we cannot divide by

The degree of the numerator is identical to the degree of the denominator, so there are no oblique asymptotes.

Limit

So a horizontal asymptote is

graph{(x^2-1)/(x^2-4) [-10, 10, -5, 5]}