Electronic Proceedings of the Seventh Annual International Conference on Technology in Collegiate MathematicsOrlando, Florida, November 1720, 1994Paper C022
Understanding Taylor's Theorem with the TI85 
Gary H. Ford
Department of Mathematics
Radford University
Box 6942
Radford, VA 24142
USA
Phone: (540) 8315166
Fax: (540) 8316452
gford@mathstat.ms.runet.edu

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To most students, Taylor's Theorem is just a bunch of words on a
printed page. This past year, I taught Taylor's Thm. using the TI85
graphing calculator to illustrate the relatively simple idea of
approximating one function with another in a prescribed interval. My
perception of the results is that the graphing calculator greatly enhanced
the understanding of the concepts involved. My students were actually
interested in questions like 'Where is the approximation good?' and 'How
closely does the one function approximate the other?', questions I've never
heard before concerning these concepts. In this talk, I will present some
examples, graphs, etc. that were used in class. Included also will be a
discussion of how to utilize the TI85 to find an interval on which the
approximation is good to a specified level.
Keyword(s): calculus, TI85, graphing calculators, sequences and series