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## Homework Statement

Evaluate the sum of the following:

[itex]\sum\limits^\inf_{n=1} \frac{6}{n(n+1)}[/itex]

## Homework Equations

## The Attempt at a Solution

Well... The denominator is going to get infinitely large as n approaches infinity, so would the value of the sum not converge to zero? The homework program said this answer was wrong.