# How do you find the vertical, horizontal or slant asymptotes for #(x^2-4)/(x^3+4x^2)#?

##### 1 Answer

Nov 23, 2016

The vertical asymptotes are

No slant asymptotes.

The horizontal asymptote is

#### Explanation:

Let

Let's factorise the denominator

The domain of

As we cannot divide by

So

The vertical asymptotes are

As the degree of the numerator is

For calculating the limits, we take the terms of highest degree in the numerator and the denominator

So,

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