Question: Question 5 [9 Marks] (Long Answer Question) File Upload Required (a) Show that the following identity is true 1 2k + 1 (k+ 1)2 12

 Question 5 [9 Marks] (Long Answer Question) File Upload Required (a)

Question 5 [9 Marks] (Long Answer Question) File Upload Required (a) Show that the following identity is true 1 2k + 1 (k+ 1)2 12 ( k + 1 ) 2 (b) Use the identity in part (a) to find the formula for the k:th partial sum of the series 2k- + 1 K2 ( ke + 1 ) 2 (c) Use the formula for the kth partial sum obtained in part (b) to determine the convergence or divergence of the series 2k + 1 IM 8 K2 (k + 1)2

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