| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2010 |
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| Session | November |
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| Topic | Sequences and series, recurrence and convergence |
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2 Use the method of differences to find \(S _ { N }\), where
$$S _ { N } = \sum _ { n = 1 } ^ { N } \frac { 1 } { n ( n + 2 ) }$$
Deduce the value of \(\lim _ { N \rightarrow \infty } S _ { N }\).