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Limits
Book Description:
This
5-page Microworld assembles a variety of tools for visualizing
left, right, and two-sided limits of functions of a single
variable. The reader may define functions with algebraic
forms, or may define functions piecewise. There is a versatile
function grapher on each page of the exploration that allows
the reader to zoom in or out around a chosen point, and
then to select points along the graph to see the function
values, and to learn the conventions that associate function
graphs with sets of ordered pairs. This latter important
and powerful heuristic reinforces the visualization encouraged
in later pages.
In
the closing pages of the book, the author examines and explains
left and right hand limits, their connection to limits in
general, and, finally, he formulates for readers to explore
the idea of continuity at a point. The examples that readers
construct may be carried on to later pages using the handy:
Restore Graph buttons.
The
Microworld explores these themes in 4 interactive pages
+ a Table of Contents.
Author:
Sam Masih, Albany State University
E-mail:
smasih@asurams.edu
Topics:
Limits, Continuity, one-sided limits, piecewise defined
functions
Number of Pages: 5
Animation: No
Grade Level: 13-15
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