I ignored your Taylor work, but I tested your idea
I just tried the limit comp test with
by letting
By that, I mean
So, is a positive series and it can be compared to the p=2 series.
Hi!
, convergent or divergent?
I tried:
Now using the Taylor expansion of with AND using the taylor expansion of I got
To be able to use the comparison critera, , I applied it with on
And hence
And
And converges.
So the original series converges.
I assume if then ?
Basically what I want, is someone to check the work.
Thx!