2. For each of the following series test whether it converges to a limit in R, to co, or -co or fails to have a limit in R (i.e. diverges). (a) _ sin(7) n=1 1 (b) E For this series discuss at least two different tests which support your answer. n=1 nn 570 kin k (c) 2k=1 (k+2)3