Let p be a positive integer. Find the sum of the series: the summation from k=1 to infinity of 1/(k(k+p)).
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Originally Posted by friday616 Let p be a positive integer. Find the sum of the series: the summation from k=1 to infinity of 1/(k(k+p)). $\displaystyle \frac{1}{k(k+p)}=\frac{1}{pk}-\frac{1}{p(k+p)}$.
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