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Lim inf/sup question

  1. Jan 8, 2009 #1
    i got this example:


    i got a sequence of numbers
    i cant understand from where they conclude that the limits of every sub sequence is {2,1,0,-1}

    there are no sub sequences pointed out
    there are no formulas for each sub sequence

    how did they came with
    that the limits of every sub sequence is {2,1,0,-1}
  2. jcsd
  3. Jan 8, 2009 #2


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    Staff Emeritus
    Science Advisor

    The obvious subsequences is {2, 2, 2, 2, ...}, {1, 1, 1, 1, ...}, {0, 0, 0, ...}, and {-1, -1, -1, 0, ...}. Those are the only convergent subsequences.
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