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## IMC 2011 Day 2 Problem 3

Calculate $\displaystyle \sum_{n=1}^\infty \ln \left(1+\frac{1}{n}\right)\ln \left( 1+\frac{1}{2n}\right)\ln\left( 1+\frac{1}{2n+1}\right)$.

Hi. The problem statement is actually: Determine the value of $\sum_{n=1}^\infty \ln \left(1+\frac{1}{n}\right) \ln \left(1+\frac{1}{2n}\right) \ln \left(1+\frac{1}{2n+1}\right)$. *hope that the latex works*