# How to find the asymptotes of #f(x)=x^2/(x+1)# ?

##### 2 Answers

Feb 17, 2016

Vertical asymptote at

No horizontal asymptotes.

#### Explanation:

Vertical asymptote at places which make the denominator zero, ie when

Horizontal asymptotes at

The graph verifies this :

graph{x^2/(x+1) [-20.2, 20.39, -10.18, 10.08]}

Feb 17, 2016

In you also need slant (oblique) asymptotes, this function has

#### Explanation:

Do the division to get

The difference between the graph of the function and the line is

As x increases without bound, the difference,