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Math Help - Homework

  1. #1
    Junior Member miss_lolitta's Avatar
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    Talking Homework

    can someone find \sum-{i=1}^{\infty}1\frac{i}??


    thanks
    Last edited by miss_lolitta; April 27th 2006 at 07:34 AM.
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  2. #2
    TD!
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    Your LaTeX-code isn't right but from the code I suspect you mean

    \sum\limits_{i = 1}^{ + \infty } {\frac{1}{i}}

    If so, this sum (harmonic series) diverges.
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  3. #3
    Junior Member miss_lolitta's Avatar
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    Sorry i mean this sum:
    \sum-{i=1}^{\infty}1\frac{{i}^2}??
    Last edited by miss_lolitta; April 27th 2006 at 07:44 AM.
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  4. #4
    TD!
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    Still not there, do you mean

    <br />
\sum\limits_{i = 1}^{ + \infty } {\frac{1}{i^2}}<br />

    ?
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  5. #5
    Junior Member miss_lolitta's Avatar
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    yes thanks
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  6. #6
    TD!
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    That's a very well-known problem with the nice answer \frac{\pi^2}{6} but it's not trivial to find this result.

    This pdf file contains 14 (!) different proofs for it, some a bit more understandable than others, depending on your mathematical background.
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  7. #7
    Junior Member miss_lolitta's Avatar
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    thank u sooooooooooooooo much
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  8. #8
    TD!
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    You're welcome
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