Question

What are the asymptotes of `f(x)=x^2/(x-2)^2`?

Answer 1

`x^2/(x-2)^2 ->1` for
`x-> pm infty`
`x^2/(x-2)^2->infty` for `x->2`

Explanation:

writing
`x^2/(x^2-4x+4)=1/(1-4/x+4/x^2)->1` for `x->pm infty`
`x^2/(x-2)^2->infty` for `x->2`