Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Staff Emeritus
    Science Advisor

    It looks to me like
    [tex]A= (\frac{1}{5}, \infty)[/tex]
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Measure Theory-Lebesguq Measure
  1. Measure theory (Replies: 1)

  2. Measure theory (Replies: 2)

  3. Measure theory (Replies: 4)