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Series convergence basic question

  1. Nov 6, 2009 #1

    assume sigma(x(n)) is an absolutly convergent series and that y(n)=O(x(n)), then can we conclude that sigma(y(n)) is absolutly convergent?

  2. jcsd
  3. Nov 6, 2009 #2


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    Staff Emeritus
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    Yes. That is pretty close to being the definition of "O".
  4. Nov 7, 2009 #3
    thanks again
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