Question

How do you evaluate the limit `x^2/(1-x^2)` as x approaches `oo`?

Answer 1

`-1`

Explanation:

`lim_(x to oo) x^2/(1-x^2)`

`= lim_(x to oo) 1/(1/x^2-1)`

`= 1/((lim_(x to oo) 1/x^2)-1)`

`= -1`