Question 3. (1) Prove that if n=1 an is a series such that an > 0 for all n N and its sequence of partial sums is bounded, then it is convergent. (2) Determine whether the following series are convergent or divergent: (a) (b) n n n + 1 n 22 +1 n + 3n n4 + 5 + 1 (c) n + 1 n + 1 () n 3 n + 1 + 1 /n + n + n + 1