Re: Subsequence Convergence

Re: Subsequence Convergence

Would you mind explaining the very last inequality just a little further for me? I follow you until that conclusion, then I'm a little lost.

Re: Subsequence Convergence

Quote:

Originally Posted by

**renolovexoxo** Would you mind explaining the very last inequality just a little further for me? I follow you until that conclusion, then I'm a little lost.

In effect, it shows that the sequence of partial sums converges: .

Again that is because the sequence of partial sums is increasing.