# Calculating the limit of a sequence

I'm currently studying limits because of my calculus class and i've wondered how for example wolfram alpha computes the limit of a sequence. Is it more a brute force way, or is there an efficient method to calculate/find them?

-
I would guess, since most of the sequences we give are monotonic it would search for a greatest lower bound or least upper bound(if at all the sequence is convergent). –  Dinesh Nov 9 '11 at 22:23