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 !