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Integral test for convergence

In mathematics, the integral test for convergence is a method used to test infinite series of monotonic terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test.

Applications, Proof & Statement of the test

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Overview

Statement of the test

Proof

Applications

Borderline between divergence and convergence

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Integral test for convergence

Nodes48
Edges47
Triples1
Avg. degree1.96
Density0.041667
Components1

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Integral test for convergence

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Integral test for convergence → method used to test infinite series of monotonic terms for convergence

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Important terminology

series test displaystyle integral convergence infinite function diverges every monotone proof decreasing converges number using divergence see monotonic bounds note

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SubjectPredicateObjectConfidenceSrc
Integral test for convergenceis amethod used to test infinite series of monotonic terms for convergence0.90text

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