Approximate the following series $\sum_{k=11}^{\infty}\frac{1}{k\ 3^k}$ I am trying to estimate the following serie.
$$\sum_{k=11}^{\infty}\frac{1}{k\ 3^k}$$
I am thinking about comparison, but I am stuck.
It doesn't give a clear answer. It does look like a combined arithmetic and geometric serie.

Hint: Write the Taylor series of $$\log \Big(1 - \frac{1}{3}\Big)$$
ant subtract by $s_{10}$.
