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Homework Help: Series summation question

  1. Oct 17, 2006 #1
    I have this HW problem: Suppose Un and Vn are sequences of positve numbers such that the ratio of Un+1/Un will always we less than Vn+1/Vn. Show that 1) If Vn converges Un converged and 2) If Un diverges, Vn diverges.

    I did the first part by showing that for any n, the ration of Un/Vn is decreasing and if lim of the ratio=M then Un=MVn.

    Stuck on the second part.
  2. jcsd
  3. Oct 17, 2006 #2
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