Let an be a series of positive elements such as lim_n->infinity_an=0 and the series Sigma_n=1-infinity_an diverge.
Prove or find counterexamples for the next propositions:
1. 1. Sigma_bn diverge.
2. Sigma_bn doesn't absolutely converge.
3. Sigma_bn converge.
The Attempt at a Solution
I need a counterexample for 3...I have a counterexample for 1 and I think I can prove 2...
3 is all I need