Quote Originally Posted by radyk05
well, the way i was taught, the limit is when you come close enough to a number/point but never to the number/point (or something along those lines). then again, that was only a calculus class and not a real analysis class.
No no, limits are for as x approaches, but never reaches, a number. Limits have definitive answers.

For instance, the limit as x approaches infinity of (1/x) = 0. x gets closer and closer to infinity, but obviously never gets there. However, the limit has a definite answer.