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Math Help - ratio test divergence proof

  1. #1
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    ratio test divergence proof

    A) Give an example of an unbounded sequence that does not diverge to
    (+ infinity) or to ( - infinity)

    B) Let (Sn) be a sequence of positive terms such that the sequences of ratios ( (S(n+1)/Sn)) converges to L. Prove that if L>1, then Lim Sn = + infinity
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  2. #2
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    Quote Originally Posted by luckyc1423 View Post
    A) Give an example of an unbounded sequence that does not diverge to
    (+ infinity) or to ( - infinity)
    What about,
    a_n=(-1)^n*n

    B) Let (Sn) be a sequence of positive terms such that the sequences of ratios ( (S(n+1)/Sn)) converges to L. Prove that if L>1, then Lim Sn = + infinity
    Here.
    Attached Thumbnails Attached Thumbnails ratio test divergence proof-picture4.gif  
    Last edited by ThePerfectHacker; April 1st 2007 at 11:37 AM.
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