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Math Help - sigma notation

  1. #1
    Newbie
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    sigma notation

    Can someone help me with this problem...I can get up to
    lim as n--> infinity (n(n+1)(2n+1)) / (6n^4) and then im stuck..

    Heres the question..Find the lim as n-->infinity of
    sigma(with 'n' ontop of the sigma symbol; i=1 on the bottom)
    of ...1/n[(i/n)^2)+1]

    Thanks!
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  2. #2
    Super Member redsoxfan325's Avatar
    Joined
    Feb 2009
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    Swampscott, MA
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    943
    Quote Originally Posted by shmayer View Post
    Can someone help me with this problem...I can get up to
    lim as n--> infinity (n(n+1)(2n+1)) / (6n^4) and then im stuck..

    Heres the question..Find the lim as n-->infinity of
    sigma(with 'n' ontop of the sigma symbol; i=1 on the bottom)
    of ...1/n[(i/n)^2)+1]

    Thanks!
    Is this \lim_{n\to\infty}\sum_{i=1}^n\frac{(i/n)^2+1}{n} or \lim_{n\to\infty}\sum_{i=1}^n\frac{1}{n((i/n)^2+1)}
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