Convergent series
In mathematics, a series is the sum of the terms of an infinite sequence of numbers. Given an infinite sequence , the nth partial sum is the sum of the first n terms of the sequence, that is, A series is convergent if the sequence of its partial sums tends to a limit; that means that the partial sums become closer and closer to a given number when the number of their terms increases. More precisely, a series converges, if there exists a number such that for any arbitrarily small positive number , there is a (sufficiently large) integer such that for all , If the series is convergent, the number
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Convergent series
In mathematics, a series is the sum of the terms of an infinite sequence of numbers. Given an infinite sequence , the nth partial sum is the sum of the first n terms of the sequence, that is, A series is convergent if the sequence of its partial sums tends to a limit; that means that the partial sums become closer and closer to a given number when the number of their terms increases. More precisely, a series converges, if there exists a number such that for any arbitrarily small positive number , there is a (sufficiently large) integer such that for all , If the series is convergent, the number
has abstract
En matemáticas, una serie (sum ...... se denomina serie divergente.
@es
En mathématiques, une série es ...... ur le principe de comparaison.
@fr
In matematica, una serie conve ...... e e quindi non ammette limite.
@it
In mathematics, a series is th ...... rgent is said to be divergent.
@en
في الرياضيات، متسلسلة (بالإنجل ...... ة غير متقاربة متسلسلة متباعدة.
@ar
数学において、級数が収束（しゅうそく、英: converge ...... の第 n-部分和とは最初の n-項の有限和 のことであった。
@ja
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En matemáticas, una serie (sum ...... se denomina serie divergente.
@es
En mathématiques, une série es ...... ur le principe de comparaison.
@fr
In matematica, una serie conve ...... e e quindi non ammette limite.
@it
In mathematics, a series is th ...... ries is convergent, the number
@en
في الرياضيات، متسلسلة (بالإنجل ...... ة غير متقاربة متسلسلة متباعدة.
@ar
数学において、級数が収束（しゅうそく、英: converge ...... の第 n-部分和とは最初の n-項の有限和 のことであった。
@ja
label
Convergent series
@en
Serie convergente
@es
Serie convergente
@it
Série convergente
@fr
متسلسلة متقاربة
@ar
収束級数
@ja
