If , then the series converges absolutely and that means that and for k 'large enough' is where . Now if we suppose that and set it will be and for k 'large enough' where so that ...
I'm trying to solve the following 2 questions , can anyone help?
1. Let for k . Show that there exists a sequence 0 such that
2.Let .Show that there exists a sequence such that .
For the first part , I think for is suitable. Can anyone give a hint for the second part?
For the clever proof that converges, see here.