ABSTRACT
Limit (general limit). Let f (x) be dened on X and a be a limit point of X. We say that the limit of f (x), as x approaches a, exists and equals A if for every " > 0 there exists > 0 such that for all x 2 X such that 0 < jx aj < it follows that jf (x)Aj < ". The usual notations are lim x!a f (x) = A and f (x) !x!aA.
