Recent content by arcadiaz04

Have you both never heard of a proof by contradiction?? A statement can't be proven true by example.

The problem states: Suppose \sum a_n and \sum b_n are non-absolutely convergent. Show that it does not follow that the series \sum a_n b_n is convergent. I tried supposing that the series \sum a_n b_n does converge, to find some contradiction. So the series satisfies the cauchy criterion and...