# How do you find the vertical, horizontal and slant asymptotes of: #f(x)=(x^4-x^2)/(x(x-1)(x+2))#?

##### 1 Answer

#### Answer:

See below.

#### Explanation:

Start by simplifying the expression:

**( Difference of two squares )**

Vertical asymptotes occur where the function is undefined. This can be seen to be when **(division by zero)**

So the line

We now divide:

The quotient of this will be the oblique asymptote:

We do not need to be concerned with the remainder. So the oblique asymptote is the line:

This is the line

Graph: