(i) Let {s } be a sequence defined as: S, = 1, S, =S _+n for n>1. Find lim ~n+1 (iii) Determine whether the series is convergent or divergent. If convergent find the sum. E n=0 2n+1 2n+3 1 M n=0 2n+1 2n +3 2" K = 0 5 k + 2 k * 2 (iv) Evaluate the following limit: lim n