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Partial bound question

  1. Dec 10, 2008 #1
    i am given with a series called An
    and series Bn which from a certain place has the same members as An?

    prove or disprove that every partial bound of bn is also a partial bound of An

    ??

    i know that if a series is converges then
    lim inf An=lim sup An

    is that helps?

    how to prove it mathmaticly??
     
  2. jcsd
  3. Dec 10, 2008 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    First, what is the definition of "partial bound"?
     
  4. Dec 10, 2008 #3
    a partial bound is the bound of a subsequence
     
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