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Thread: Another limit of a series

  1. April 14th 2010, 05:12 AM #1
    azarue
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    Another limit of a series

    Hi forum members, could you help me with that one ?
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  2. April 14th 2010, 06:13 AM #2
    Failure
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    Quote Originally Posted by azarue View Post
    Hi forum members, could you help me with that one ?
    You can put this into a sandwich of two sequences that converge to the same limit 1:

    1\leftarrow n\cdot\frac{n}{n^2+n}\leq \frac{n}{n^2+1}+\frac{n}{n^2+2}+\cdots+\frac{n}{n^ 2+n}\leq n\cdot\frac{n}{n^2+1}\rightarrow 1
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