Let from k=1 to infinity be a series of real numbers. Suppose that from k=1 to infinity converges for every bounded sequence . Prove that from k=1 to infinity converges absolutely.
Follow Math Help Forum on Facebook and Google+
Pick b_k such that for each k. Verify that b_k is bounded (it should be bdd by 1, as you only need to use 1,-1).
View Tag Cloud