Problem 16 Give an example of each of the following, or explain why such a request is impossible: (a) Sequences {3n} and {tn} which both diverge, but whose sum {3n + tn} converges. (b) Sequences {3n} and {tn} where {31,} converges, {tn} diverges, and {3n + tn} converges. (c) A convergent sequence {3\"} with each 3,, 31$ 0 such that {i} diverges. ((1) Two sequences {3\"} and {tn} such that {sntn} and {31,} converge but {tn} does not