9231 P11 - Jun 2011 - Q1 - 5 marks
6476
Express \(\frac{1}{(2 r+1)(2 r+3)}\) in partial fractions and hence use the method of differences to
\(\sum_{r=1}^{n} \frac{1}{(2 r+1)(2 r+3)}\)
Deduce the value of
\(\sum_{r=1}^{\infty} \frac{1}{(2 r+1)(2 r+3)}\)
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