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Math Help - divergent sequences

  1. #1
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    divergent sequences

    is it possible for both the summation of (x sub n) and (y sub n) to be divergent and the summation of (x sub n ysubn) be convergent?
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    Hello,

    One of the best examples is to take (x_n)=\sum \frac{1}{n} and (y_n)=\sum \frac{-1}{n}

    The two are known to be divergent.. Though the summation is equal to 0 and convergent.
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