Converging Series Problem

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  1. tom29whu's Avatar
    1 21-05-2012  15:39
    • Adored and Respected Member
    • Location: Loughborough (and sometimes London)
    • Posts: 463
    Converging Series Problem
    Hi,

    My problem I am trying to solve is:

    Prove that if the series \sum_{n=1}^{\infty} nS_n converges, then S_n \rightarrow 0 as n \rightarrow {\infty}

    Any help would be greatly appreciated
  2. DFranklin's Avatar
    2 21-05-2012  16:04
    • TSR Royalty
    • Location: London
    • Posts: 18,041
    Re: Converging Series Problem
    For a series to converge, it is necessary that the terms tend to 0...
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