# How do you find the asymptotes for #f(x)=1/(x^2+4)#?

##### 1 Answer

Mar 23, 2016

This function only has a horizontal asymptote:

#### Explanation:

Notice that

As

So we have a horizontal asymptote

On the other hand

So there is no vertical asymptote.

graph{1/(x^2+4) [-2.5, 2.5, -1.25, 1.25]}