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I. Functions, Graphs, and Limits
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| | Limits and an Introduction to Calculus
This page is part of a site maintained by Sandra Halfacre of White Station High School in Memphis, Tennessee. It contains links to tutorials, slide shows, animations, and applets, helping students to understand limits and continuity (including asymptotic and unbounded behavior).
 Limits and an Introduction to Calculus
Limits and Continuity: Numerical Approach
This tutorial is a numerical introduction to the idea of a limit. It investigates several limits numerically, including right- and left-side limits. Other limits may be investigated with a link that will do the computations. An informal definition of limit is also included. There are five additional interactive problems to practice with.
Limits and Continuity: Numerical Approach
Limits and Continuity: Graphical Approach
This tutorial is a graphical introduction to continuity. Several good applets illustrate continuous and discontinuous functions graphically. There are several interactive questions leading to the definition of continuity. The definition follows a numerical discussion of limits. This is a good place for students to firm up their understanding and for teachers to find some good simple examples.
Limits and Continuity: Graphical Approach
Technology Activities: Continuity
This is a two-page Web site that asks the student to use a graphing calculator to investigate the definition of continuity with a variety of functions.
Technology Activities: Continuity
Simple Graph (Parametric Function)
This Web site contains an applet that draws the graphs of parametric functions. It contains examples of eight graphs of parametric functions. The applet is easy to use, and the instructions are straightforward. Users can create their own functions based on a family of common functions that are given. Options at the site allow the user to zoom in or out as needed or to change the domain.
Simple Graph (Parametric Function)
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