2. Suppose that f (x) = Z ohm4f\" and suppose it is known that f(2) diverges but that the series represented by 2.3ka converges. A. [6 pts] Indicate whether the following series must converge, must diverge. or could converge or diverge by filling in the appropriate circle. No justification is necessary. (i) The series represented by f (2): 0 must converge 0 must diverge 0 could converge or diverge. (ii) The series 2 7kak: 0 must converge 0 must diverge 0 could converge or diverge. rc=o (iii) The series represented by f (0): 0 must converge 0 must diverge 0 could converge or diverge. B. [2 pts] State the largest possible interval of convergence for the series f(w) = 20M\"? 4)"' consistent with the k=0 given information. Write your answer in the box provided