I managed to get this series to converge but I have no idea whether it will converge absolutely.Does the sequence converge? If it does, does it converge absolutely?
I gather that there will no longer be any positive terms but I can't prove whether it is absolutely convergent or not.
Help would be appreciated!
lol, well that's good! We are officially friends on here after all......
Before I forget: Merry Christmas!!
hmm, you made that look so easy!Now for the absolute convergence part, you have to prove that converges.
And we know that ,
Hence
So
And since the RHS is a convergence series, the LHS...
I was getting confused that and it would have been a simple step to . I'm not sure what I was thinking about.