Question

If `lim_(x->oo) f(x)<0`, then is `lim_(x->oo) (f(x))^2>0`?

Answer 1

Yes.

Explanation:

`lim_(xrarroo)f(x) = L` imples `lim_(xrarroo)(f(x))^2 = L^2`

`L != 0` implies `L^2 > 0`