1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
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

    HallsofIvy

    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)

Loading...