
#1
Dec910, 05:06 AM

P: 76

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 ! 



#2
Dec910, 07:27 AM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 38,882

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


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