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Measure Theory-Lebesguq Measure

  1. Dec 9, 2010 #1
    1. The problem statement, all variables and given/known data
    Prove the set [tex] A= \bigcup_{n=1}^{\infty} ( \frac{n}{5} , \frac{n}{5} + \frac{n+1}{2^n} ) [/tex] is Lebesgue measurable and calculate its measure.

    2. Relevant equations
    3. The attempt at a solution
    I've proved the set is measurable...But how can I calculate its measure?

    I will be delighted to get some guidance

    Thanks in advance !
    Last edited: Dec 9, 2010
  2. jcsd
  3. Dec 9, 2010 #2


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    Staff Emeritus
    Science Advisor

    It looks to me like
    [tex]A= (\frac{1}{5}, \infty)[/tex]
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