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anonymous

  • 5 years ago

Difficult infinite series Question: Suppose Sn represents the partial sum of a diverging infinite series, does the infinite sum 1/(Sk)^2 converge?

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  1. anonymous
    • 5 years ago
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    I tested it with the harmonic series and i'm pretty sure it diverges, but i can't prove this generally.

  2. anonymous
    • 5 years ago
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    Depends on what s is equal to: I am reading this must behave like 1/2k^2 which converges, constant times a convergent p-series = 2

  3. anonymous
    • 5 years ago
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    Sn is the partial sum of any diverging series. The p-series cannot be used as Sn is not a constant or bounded by a constant

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