P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the series is convergent c) If the series is convergent, find the infinite sum 1 1 (i) + n-(n+1)·(n+2) 1.2:3 2:3.4 n (ii) 5 +• (2n-1)²(2n+1)² + + ... ... 225

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