Cauchy condensation test
id:
cauchy-condensation-test-232-10969898
title:
Cauchy condensation test
text:
In mathematics, the Cauchy condensation test, named after Augustin-Louis Cauchy, is a standard convergence test for infinite series. For a non-increasing sequence f of non-negative real numbers, the series ∑ n = 1 ∞ f converges if and only if the "condensed" series ∑ n = 0 ∞ 2 n f converges. Moreover, if they converge, the sum of the condensed series is no more than twice as large as the sum of the original.
brand slug:
wiki
category slug:
encyclopedia
description:
Convergence test for infinite series
original url:
https://en.wikipedia.org/wiki/Cauchy_condensation_test
date created:
date modified:
2024-04-15T10:29:57Z
main entity:
{"identifier":"Q1051423","url":"https://www.wikidata.org/entity/Q1051423"}
image:
fields total:
13
integrity:
14