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Math Help - Harmonic Series

  1. #1
    Junior Member
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    Harmonic Series

    1/a + 1/(a+1) + 1/(a+2) + ... + 1/(a^2) > 1
    Why does this prove that the harmonic series diverges to infinity? What is so important about the finite number of terms?
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  2. #2
    Senior Member Tinyboss's Avatar
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    Beacuse the harmonic series contains infinitely many disjoint subseries like this, implying that the "total sum" is unbounded.
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