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Math Help - Series

  1. #1
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    Series

    Hello all,.. need help with this one :
    Given the series

    S = 1 - \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} - \frac{1}{\sqrt{4}} + \cdots

    If S_n denote the partial sum of the first n term of this series, determine n such that the difference between S and S_n is less than 0.001.

    any idea?
    thx a lot.
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  2. #2
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    Quote Originally Posted by dedust View Post
    Hello all,.. need help with this one :
    Given the series

    S = 1 - \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} - \frac{1}{\sqrt{4}} + \cdots

    If S_n denote the partial sum of the first n term of this series, determine n such that the difference between S and S_n is less than 0.001.

    any idea?
    thx a lot.
    For an alternating series the error can not be larger then the next term in the series.
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