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Thread: The divergence of the reciprocals of odd integers

  1. October 28th 2009, 04:17 PM #1
    paupsers
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    The divergence of the reciprocals of odd integers

    Can anyone prove whether
    S = 1 + 1/3 + 1/5 + ... + 1/(2n-1)
    converges or diverges?
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  2. October 28th 2009, 04:30 PM #2
    redsoxfan325
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    Quote Originally Posted by paupsers View Post
    Can anyone prove whether
    S = 1 + 1/3 + 1/5 + ... + 1/(2n-1)
    converges or diverges?
    \sum_{n=1}^{\infty}\frac{1}{2n}\leq\sum_{n=1}^{\in fty}\frac{1}{2n-1}

    Use the comparison test.
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