Microworld: Limits
and Continuity: (All in One)
Click the Hyperlink above
to visit the Microworld.
Author:
Samuel
Masih
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.
Return to the listing of MathwrightWeb Microworlds
| - James E. White, Ph.D. , Library Director, | ||
| author of this website, Mathwright 2000, MindScapes, | ||
| MathwrightWeb, and Mathwright32 |
Once
you download our free Mathwright32 Reader above, then simply click
Get This Microworld, and it will be downloaded to your machine and
installed in a directory there. You may find it whenever you want to view
it, by going to the Start, Programs, Mathwright32 Reader menu.
