Limit
   

   

 Math Help -> Calculus -> Limit 

Contents of the "Limits" section:

Limit Intro
Graphical Limit
Special Limits
Limit Facts
Continuous
Converge
Upper Bound
Cauchy Sequence
Uncountability of Reals
Lim Sin x Over x
Exponential Limit
Interval Subdivision

Here's what you'll find in this section:

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 Limq->0 (sin q)/q = 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 the Math Help site is Graeme McRae.
     [home]  [email]  [search]  [Links to Math Sites]  [Whiteboard]