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Possible squeeze theorem limit question

  1. Aug 21, 2012 #1
    http://img96.imageshack.us/img96/8606/qqqqbj.jpg [Broken]

    so what i'm thinking is that you let

    x_n+3 + x_n+2<=x_n+2 + x_n+1 <= x_2 + x_1

    then show that the first term can eventually go to the last term

    squeezing the term into the middle

    but the problem with this is i dont see where the 1/3 comes from

    any ideas?
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Aug 21, 2012 #2


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    Gold Member

    The third term is AM of its previous two terms.
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