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Prove the inequality

  1. Jul 6, 2011 #1
    1. The problem statement, all variables and given/known data

    prove the inequality.

    2. Relevant equations

    (in the attached file.)

    3. The attempt at a solution

    The derivative of (1/2)^m where m=2^n is exactly what I need. But I can’t find the sum of (1/2)^m (because as it’s not geometric series, m doesn’t run from 0 to inf).
    by the way, am I allowed to make a derivative to this sum (I know I need to prove first that it uniformly converges?

    - Another way I tried - to find a Riemann sum that suits this sum (I mean - f(x), Delta-X, and points in the intervals, to find an integral of the sum - but couldn't find a good one.)

    Thanks for the help
     

    Attached Files:

    • eq.jpg
      eq.jpg
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      6.4 KB
      Views:
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  2. jcsd
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