Electronic Proceedings of the Nineteenth Annual International Conference on Technology in Collegiate Mathematics

Boston, Massachusetts, February 15-18, 2007

Paper S003

This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Nineteenth Annual International Conference on Technology in Collegiate Mathematics, Edited by Joanne Foster, ISBN 0-321-55846-4, Copyright (C) 2008 by Pearson Education, Inc.


Exploring Infinite Series With Technology

Reza O. Abbasian


Department of Mathematics and Computer Science
Texas Lutheran University
Seguin, TX 78155
USA


list of all papers by this author

John T. Sieben


Department of Mathematics and Computer Science
Texas Lutheran University
Seguin, TX 78155
USA


list of all papers by this author

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ABSTRACT

We demonstrate the use of Computer Algebra Systems, such as Maple and graphing calculators, to investigate infinite Series. The discussion includes examples and case studies focusing on visualizing the Series, calculating and estimating limits of the Series, verifying the related theorems and shortcomings and misuse of technology.

Keyword(s): sequences and series