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Infinite Serieseasy
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Use partial fractions to decompose 1(2n−1)(2n+1)\frac{1}{(2n-1)(2n+1)} and then find the sum of the telescoping series: ∑n=1∞1(2n−1)(2n+1)\sum_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}