Question

How can ı solve that `x/(x^2+1)^(1/2)` as `x` goes infinty?

Answer 1

`1`

Explanation:

`x/(x^2+1)^(1/2)=1/((x^2+1)/x^2)^(1/2)=1/(1+1/x^2)^(1/2)` then

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