AoPS Wiki talk:Problem of the Day/June 24, 2011
This Problem of the Day needs a solution. If you have a solution for it, please help us out by. We see that , , , , and , so each term in the sum is of the form .
Therefore, the sum is
Eventually, all the fractions that occur later in the sum tend to and all of them except for cancel out, leaving . -AwesomeToad