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Analysis: Infimum and Supremum

  1. Mar 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the Supremum and Infimum of S where,
    S = {(1/2n) : n is an integer, but not including 0}

    2. Relevant equations



    3. The attempt at a solution
    Is it right if I got inf{S} = -∞ and sup{S} = ∞
     
  2. jcsd
  3. Mar 6, 2012 #2

    Bacle2

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    Science Advisor

    Try checking the values you obtain when substituting n=1,2,...:

    {1/2,1/4,1/6,.....}

    Notice that your values are positive, so that, e.g., -5 is a lower bound. Notice too,

    that all the values are smaller than, e.g. 10, so that 10 is an upper bound.
     
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