9231 P11 - Jun 2016 - Q2 - 6 marks
6341
Express \(\frac{4}{r(r+1)(r+2)}\) in partial fractions and hence find \(\sum_{r=1}^{n} \frac{4}{r(r+1)(r+2)}\).
Deduce the value of \(\sum_{r=1}^{\infty} \frac{4}{r(r+1)(r+2)}\).
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