(a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in part (a) to find the formula for the nth partial sum of the series 2n +1 n²(n + 1)² n=1 (c) Use the formula for the nth partial sum obtained in part (b) to determine the convergence or divergence of the series 00 Σ n²(n + 1)² ` 2n +1 n=1

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