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Need Help with prove in real

  1. Mar 4, 2009 #1
    1. The problem statement, all variables and given/known data
    If X = R with a special metirc, En = [n, infinity) ()
    How can I show infinite intersection of En is empty?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 4, 2009 #2
    I am not sure what you mean by "special metric", since the statement you are trying to show has nothing to do with a metric.

    To show that the intersection is empty use the fact that for any real number x there exists a positive integer n such that x<n.
     
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