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

##### 1 Answer

Jan 28, 2017

The horizontal asymptote is

No vertical asymptote

No oblique asymptote

#### Explanation:

The domain of

The denominator is

There are no vertical asymptotes.

As the degree of the numerator is

The horizontal asymptote is

graph{(y-x/(x^2+4))(y)=0 [-5.55, 5.55, -2.773, 2.776]}