1. (3+3+3 points) For each of the following statements, determine whether it is true or false, and justify your answer. (a) If 22:0 can, and 22:0 bk both diverge, then 22:0 akbk also diverges. (b) If 22:0 ah converges, then 221,60 (1;, converges for any positive integer k0. (c) If 220:0 ak converges, then Eomk c) does not converge for any nonzero real number c