11. [10 marks] (a) Determine whether the sequence {an} is convergent or divergent, given that an = n In (n + 1) (b) Consider the telescoping series E 1 1 (2n - 1) ( 2n + 1 ) = =1 2 (2n - 1) -2(2n + 1) ] 1 Find a formula for the kth partial sum sk, and use it to find the sum of the series or to show that the series diverges. (c) Consider the power series given by f (x) = > no 2n (2 - 4)". (i) Determine the values of x for which the series will converge. (ii) Determine the sum of the series