(4) For each of the following statements, determine whether it is true or false. If it is true, prove it. If it is false, give a counter example to disprove it. (a) If lim(Jan)) = 1 then the sequence (an) is convergent. (b) If lim (an) = 0 then the series _ an is convergent. (c) If the series Jan and Ebn are convergent, then so is the series _ anbn. (d) If the series _ an and E br are divergent, then so is the series _ anbn. (e) If an converges, then so does _ lanl