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Zeta (2) Function

  1. Aug 11, 2012 #1
    1. The problem statement, all variables and given/known data

    Find the shortest way possible to prove:

    2. Relevant equations

    [tex]\zeta (2)=\frac{\pi^{2}}{6}[/tex]

    3. The attempt at a solution

    I trying doing sinx < x < tanx if u know what I mean but it took me 6 pages.
    I want a prove that is short and concise.
    Also, can you guys please show full working?
  2. jcsd
  3. Aug 11, 2012 #2


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    Is this really homework?

    May I know what your mathematical background is?? I ask this because the shortest possible proofs will require quite some mathematical knowledge such as Fourier series or complex analysis.
  4. Aug 11, 2012 #3
    Yes, I just want the shortest possible prove, a really concise prove.
    Show me the prove, and leave the rest for me, I'll understand it.
  5. Aug 11, 2012 #4
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