Is there any way to compute analytically the convergence value of the series:
We know that for k=1, the convergence value is .
For k->+Inf the series converges to 2.
For k>1 it is possible to verify that the series converges. The problem is to determine analytically this value.
My questions are:
- Is there any way to do this?
- Is there any relation with the Napier number?
Thank in advance!