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**1. The problem statement, all variables and given/known data**

consider the sequence {an} where an= 1/(n+1) + ...+ 1/2n. find its limit.

**2. Relevant equations**

the hint given is using riemann sum.

**3. The attempt at a solution**

we know that since it is increasing and bounded above by one, the sequence converges. I'm not sure where to go from there, especially to use the riemann sum.