what is convergent series ?

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A series is defined as the sum of the elements of a sequence. If sum of the n-terms of the sequence value (i.e sn) is finite & unique at n→infinity then the given series is a convergent series.
       I.e.   lim n→♾️   Sn = finite (unique)

Where  Sn = a1+a2+a3+a4+......

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