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Math Help - Two divergent sequences whose product converges

  1. #1
    Junior Member mremwo's Avatar
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    Two divergent sequences whose product converges

    I spend what was probably way too long trying to figure this out:

    "Provide two divergent sequences X and Y whose product converges."

    I was also asking to find the same, but whose sum converges, which I think I got. I don't necessarily want you to tell me two sequences satisfy this, but a hint or two would be nice. Thank you!
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by mremwo View Post
    "Provide two divergent sequences X and Y whose product converges.

    x_n=(-1)^n,\;y_n=(-1)^{n+1}


    Fernando Revilla


    P.S. I have used the term divergent as equivalent to not convergent.
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