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Homework Help: Subsequences that converge to different values

  1. Sep 28, 2010 #1
    1. The problem statement, all variables and given/known data

    Is it possible to have a sequence that contains subsequences converge to every point in the infinite set {1, 1/2, 1/3,...}? If possible, then give an example; if not, give an argument.


    2. Relevant equations



    3. The attempt at a solution

    I don't think it's possible. But I don't know how to argue that.
    Any help is appreciated!
     
  2. jcsd
  3. Sep 28, 2010 #2
    There is already a thread on the same issue on the first page in this section.

    https://www.physicsforums.com/showthread.php?t=432295
     
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