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Limit Intro -- The Limit, as x approaches c, of a function f(x), is said to be equal to L if the value of f(x) gets "closer and closer" to L as x gets "closer and closer" to c.  This page presents a mathematically rigorous explanation of this, and also introduces some special uses of limits.

Special Limits are limits from one side, as x−> infinity, etc.

Definitions of Continuous, Converge, Upper Bound.

Sin x Over x -- proves that Limθ−>0 (sin θ)/θ = 1

L'Hopital's Rule -- a method of finding the limit of a rational function as both numerator and denominator approach zero

Related pages in this website

Next: Derivatives, a concept of calculus, which is based on the limit


The webmaster and author of this Math Help site is Graeme McRae.