# How do you find the Vertical, Horizontal, and Oblique Asymptote given #(x^2-4)/(x^3+4x^2)#?

##### 1 Answer

Oct 28, 2016

The vertical asymptotes are

The horizontal asymptote is

#### Explanation:

Let rewrite the function

As we cannot divide by

So the vertical asymptotes are

The degree of the denominator is greater than the degree of the numeratos, so we don't have oblique asymptotes

Let's find the limit of the function as

limit

limit

So

graph{(x^2-4)/(x^3+4x^2) [-10, 10, -5, 5]}