As an additional info: we know that the partial sum for is bounded so converges by Dirichlet test as long as is a decreasing sequence which tends to zero.
can be directly compared to which converges by the alternating series test?
OK
But what about ?
ohhh since =
Am not sure about inquality, sometimes this bigger and sometimes its smaller.
You are telling me ?
If the smaller converges, You cant decide that convergence of the bigger.
This is what I know.
Or you are telling me ?