I'm trying to find the value of the following sum
$$\sum_{n=1}^{\infty} \frac1{n}\left(\frac{np}{p+n}\right)^{n+1}$$
where $0 . Any ideas? Thanks.
I'm trying to find the value of the following sum
$$\sum_{n=1}^{\infty} \frac1{n}\left(\frac{np}{p+n}\right)^{n+1}$$
where $0 . Any ideas? Thanks.