Limits of functions
Animations and movies
Movie: That's Calculus, Episode 1. In To the Limit, nationally acclaimed performance artist Josh Kornbluth, examines the limits of various functions f(x) as x approaches a point where the function is undefined. In addition, he takes a culinary look at functions. [Josn Kornbluth]
Movie: That's Calculus, Episodes 2 and 3. A humorous look at the epsilon-delta definition of the limit. [Josh Kornbluth]
Animation: Animation of a limit at a cusp. [Lane Vosbury]
Animation: Animation of the (nonexistent) limit at 0 of sin(1/x). [Lane Vosbury]
Applets
Gnerating tables to demonstrate limits: A nice applet that makes a table of values for limits, allowing you a nice zooming feature. [Jacksone State University]
An epsilon-delta applet: Plot any function, and then use sliders to determine an appropriate delta for a given epsilon. [David Eck]
Computing a limit: Computes limits at points, including left- and right-hand limits, along with an optional graph. [Vanderbilt toolbox]
Online problems
Problems: Evaluating limits graphically. Press Next Limit to get another problem. [Visual calculus]
Problems: Evaluating limits algebraically. [Visual calculus]
Problems: Evaluate several different limits, with detailed solutions. [Duane Kouba]
Problems: Calculate vertical asymptotes, with detailed solutions. [Visual calculus]
Problems: Calculate horizontal asymptotes, with detailed solutions. [Visual calculus]