Alternating series convergence: a visual proof

We describe a picture proof of the Alternating Series Test which uses simple comparisons of areas of rectangles to establish convergence.

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Bibliographic Details
Published in:Teaching mathematics and its applications 2006-06, Vol.25 (2), p.58-60
Main Authors: Hammack, Richard H., Lyons, David W.
Format: Article
Language:English
Subjects:
Calculus
Comparative Analysis
Convergent Thinking
Information Theory
Mathematics
Mathematics Instruction
Teaching Methods
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Description
Summary:We describe a picture proof of the Alternating Series Test which uses simple comparisons of areas of rectangles to establish convergence.
ISSN:0268-3679
1471-6976
DOI:10.1093/teamat/hri005