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Math Help - Absolutely or conditional convergence

  1. #1
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    Absolutely or conditional convergence

    is this series Absolutely or conditional convergent

    [k^(1/2)sin(k)]/(k^2)
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  2. #2
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    Quote Originally Posted by Dreamer78692 View Post
    is this series Absolutely or conditional convergent

    [k^(1/2)sin(k)]/(k^2)

    in absolute value this is bounded by \sum 1/k^(3/2), which is convergent. therefore this converges absolutely
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