Does it diverge or converge?

Does the following series diverge or converge?

$\sum _{n=1}^{\infty } \dfrac{\sin(\text{ln}(n))}{n}.$

The Basics:
Let $\sum_{n=m}^\infty a_n$ be a formal infinite series. For any integer $N\geqslant m$ , we define the $N^{\text{th}}$ partial sum $S_N$ of this series to be $S_N:=\sum_{n=m}^N a_n$ ; of course, $S_N$ is a real number. If the sequence $(S_N)_{n=m}^\infty$ converges to some limit $L$ as $N\to\infty$ , then we say that the infinite series $\sum_{n=m}^\infty a_n$ is convergent , and converges to $L$ ; we also write $L=\sum_{n=m}^\infty a_n$ , and say that $L$ is the sum of the infinite series $\sum_{n=m}^\infty a_n$ . If the partial sums $S_N$ diverge , then we say that the infinite series $\sum_{n=m}^\infty a_n$ is divergent .