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An Improved Remainder Estimate for Use with the Integral Test

by Roger B. Nelsen (Lewis & Clark College)

This article originally appeared in:
College Mathematics Journal
November, 2003

Subject classification(s): Infinite Series | Complex Analysis | Analysis
Applicable Course(s): 3.2 Mainstream Calculus II

If a series is shown convergent by the integral test, get a sharper than usual estimate for the error.

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Capsule Course Topic(s):
One-Variable Calculus | Integration: Applications
Sequences and Series | Tests For Convergence and Divergence
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