Using the new bounding interval for the Integral Test to Approximate Series - Maple Application Center
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Using the new bounding interval for the Integral Test to Approximate Series

Author
: Carl DeVore
Engineering software solutions from Maplesoft
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Here is an algorithm for approximating an infinite series by using a partial sum plus an error corrector derived from the Integral Test. This gives much more powerful error control than merely using partial sums to approximate the series. This technique can be used to quickly approximate some series that Maple cannot already approximate, and thus the power of Maple is extended significantly. Audience:
1. Calculus students learning about the integral test who are interested in some of the finer computational aspects. 2. Numerical analysis students learning how to approximate series. 3. Computational professionals interested in learning efficient Maple techniques.

Application Details

Publish Date: February 08, 2002
Created In: Maple 8
Language: English

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