Question

What is the limit of `(x^2)/(lnx)` as x approaches `oo`?

Answer 1

`oo`

Explanation:

`lim_{x to oo} (x^2)/(lnx)` is indeterminate ie `oo/oo` so L'Hopital is an easy way to go

`lim_{x to oo} (x^2)/(lnx)`

`= lim_{x to oo} (2x)/(1/x)`

`= lim_{x to oo} 2x^2 = oo`