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Like any series, an alternating series is a convergent series if and only if the sequence of partial sums of the series converges to a limit. The alternating series test guarantees that an alternating series is convergent if the terms a n converge to 0 monotonically, but this condition is not necessary for convergence.
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This is an accepted version of this page This is the latest accepted revision, reviewed on 20 February 2025. 2014 video game 2014 video game The Sims 4 Cover art since 2019 Developer(s) Maxis [a] Publisher(s) Electronic Arts Director(s) Michael Duke Berjes Enriquez Jim Rogers Robert Vernick Producer(s) Kevin Gibson Grant Rodiek Ryan Vaughan Designer(s) Eric Holmberg-Weidler Matt Yang Artist(s ...
In mathematical analysis, the alternating series test proves that an alternating series is convergent when its terms decrease monotonically in absolute value and approach zero in the limit. The test was devised by Gottfried Leibniz and is sometimes known as Leibniz's test , Leibniz's rule , or the Leibniz criterion .
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Maxis is the creator of the best-selling PC game of all time, The Sims, and its sequel, The Sims 2. These three titles and their related products are the brand's most popular and successful lines. These three titles and their related products are the brand's most popular and successful lines.
In mathematics, Dirichlet's test is a method of testing for the convergence of a series that is especially useful for proving conditional convergence. It is named after its author Peter Gustav Lejeune Dirichlet , and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862.
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