# Measure Theory-Lebesguq Measure

by WannaBe22
Tags: measure, theorylebesguq
 P: 76 1. The problem statement, all variables and given/known data Prove the set $$A= \bigcup_{n=1}^{\infty} ( \frac{n}{5} , \frac{n}{5} + \frac{n+1}{2^n} )$$ 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 !
 Math Emeritus Sci Advisor Thanks PF Gold P: 38,707 It looks to me like $$A= (\frac{1}{5}, \infty)$$

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