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Math Help - Sequences

  1. #1
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    Sequences

    Give an example of two divergent sequences X and Y such that:

    A.) their sum X + Y converges
    B.) their product XY converges

    Note: X and Y do not need to be the same for A.) and B.)
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  2. #2
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    Quote Originally Posted by jkru View Post
    A.) their sum X + Y converges
    x_n = (-1)^n and y_n = (-1)^{n+1}.

    B.) their product XY converges
    x_n=y_n = (-1)^n
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