Need help with some algebraic simplification. This is an example from my calculus book asking to find the vertical and horizontal asymptotes. They divided the numerator and denominator by $\displaystyle x$. I don't understand how they they got to the second step after dividing by x and simplifying. Can someone explain this? Radicals screw everything up for me.

$\displaystyle \lim_{x\to\infty}\frac{\sqrt{2x^2+1}}{3x-5} = $

$\displaystyle \lim_{x\to\infty}\frac{\sqrt{2+(1/x^2)}}{3-(5/x)}$