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What is n!/(1*3* *(2*n+1)) for large n?

  1. Jul 24, 2012 #1

    htg

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    1. The problem statement, all variables and given/known data
    What is n!/(1*3*...*(2*n+1)) for large n ? (I need an expression E(n) such that the ratio of E(n) by the quantity (n!/(1*3*...*(2*n+1)) goes to 1 as n goes to ∞.

    2. Relevant equations

    Does anybody know of an analog of Stirling's formula for ∏(2*k+1)?

    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 24, 2012 #2

    Ray Vickson

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    Use the fact that 1*3*5* ... *(2n+1) = (2n+1)!/[2*4*6* ... *2n], and re-write the denominator here.

    RGV
     
  4. Jul 24, 2012 #3

    htg

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    Thanks, it solves my problem.
     
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