Question 23
Evaluate the infinite sum
$$
\sum_{n=2}^{\infty} \log_{2}\left(\frac{1-\frac{1}{n}}{1-\frac{1}{n+1}}\right)
$$
$$
\sum_{n=2}^{\infty} \log_{2}\left(\frac{1-\frac{1}{n}}{1-\frac{1}{n+1}}\right)
$$
MathNet 2014 Question 23
Math Olympiad Vault · MathNet 2014