Results 1 to 2 of 2

Math Help - ratio test divergence proof

  1. #1
    Junior Member
    Joined
    Jul 2006
    Posts
    73

    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
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    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 10:37 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ratio test for series divergence help.
    Posted in the Differential Geometry Forum
    Replies: 7
    Last Post: December 15th 2011, 06:16 AM
  2. Clarification of Root Test & Ratio Test
    Posted in the Calculus Forum
    Replies: 4
    Last Post: July 28th 2010, 07:45 AM
  3. Replies: 7
    Last Post: June 4th 2009, 09:33 PM
  4. Proof of the ratio test
    Posted in the Calculus Forum
    Replies: 0
    Last Post: April 14th 2009, 08:02 PM
  5. ratio test (series) urgent test tommorow!
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 2nd 2008, 03:27 PM

Search Tags


/mathhelpforum @mathhelpforum