by Jasmina008 on September 12th, 2008

Jasmina008

Question

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How to determine whether this series is converging?


∑( (-1)^n ) / (n*2^n)
n=0

Could you please show working that would be greatly appreciated.

Cheers :)

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  • by mtsagris on September 14th, 2008

    mtsagris

    rewrite it as S[((-1)^n)*(1/(n/2^n))] = S[(-1)^n*a(n)] ok?
    theorem of leibniz:
    if all a(n) are positive
    if a(n)>=a*(n+1)
    and if a(n) tends to zero as n tends to infinity, thens the serie converges. if you did not understand let me know.

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You're reading How to determine whether this series is converging? ∞ ∑( (-1)^n ) / (n*2^n) n=0 Could you please show working that would be greatly appreciated. Cheers :)

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