# How do I find the vertical and horizontal asymptotes of #f(x)=x^2/(x-2)^2#?

##### 1 Answer

Jun 1, 2015

- Vertical asymptotes :

These are the illegal values for x

You mustn't divide by 0, thus

Which means

And thus

2 is the illegal value

So there is a vertical asymptote in

- Horizontal asymptotes :

We are looking for the limits

- Limit in
#-prop#

The

So

We thus have an horizontal asymptote in

- Limit in
#prop#

The

So

Same vertical asymptote in