Lets say I have:

$\displaystyle

\lim_{n\to\infty}\frac{2n^2 + 1}{n^2 - n}= ?

$

I know that the limit of ƒ of n, as n approaches infinity, is 2 but how I can get that right answer with the mathematical way? Of course I can quess answer with some big numbers but that's not what I'm looking for.

Could someone please help me on this... (Tmi)