Ah, yes, this seems like the most famous mathematical term, I have heard before. I was looking at a function whose limit was e as it went to infinity, so I decided to read up about this sort of thing, and found out how amazing e really is, went on a few hour rant reading various things about it. never really clicked before . Now my question is, if you given a limit say $\displaystyle \lim_{n\to\infinty}f(n)$ and it contains some sort of ratio/fraction where n is in the denominator and involves something to the nth power, this is an observation I made, which, of course in math, can get you somewhere very wrong, the observation that if the function contains something along the lines of what I just suggested it will go to a limit equivalent to e?

as I was suggested this example earlier by redsox apart from the traditional "definition" of e

$\displaystyle \lim_{n\to\infty}f(n)=n^{\frac{1}{ln(n)}}$