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Math Help - Summation

  1. #1
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    Summation

    This would be alot easier if I could do the html markup for it, but here goes:

    lim as n ==> oo

    n is above the epsilon, k=1 below of:

    (1-(k/n))^3 (2/n)

    Evaluate

    For a summation involving i^3, the summation formula is (n^2(n+1)^2)/4 but thats as far as I can get as far as where to start. Help? and thanks!
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  2. #2
    MHF Contributor red_dog's Avatar
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    \lim_{n\to\infty}\sum_{k=1}^n\left(1-\frac{k}{n}\right)^3\cdot\frac{2}{n}=2\lim_{n\to\i  nfty}\frac{1}{n}\sum_{k=1}^n\left(1-\frac{k}{n}\right)^3=2\int_0^1(1-x)^3dx
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