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Supremum of a union

  1. Oct 21, 2008 #1
    1. The problem statement, all variables and given/known data

    let Ai be a subset of the reals and i is element of I = (1,...,n)

    now let A = UNION i is element of I Ai

    show that sup(A) = supiEI(sup(A))



    2. Relevant equations



    3. The attempt at a solution

    My idea of solving was taking the limits of both sides but I'm not sure what the limit of the union of A_i is
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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