2. (12 points) Determine whether each of the following series converges or diverges. Write up your answer carefully. (Whatever test you use, you must explicitly state the conditions that are present that allow you to use that test. Your logic should be clear, easy to follow, and carefully written up.) k+lnk (1)k sin2k+5 (a) 16:3 k3+k (b) g2k+5 (C) ; 2k