# Does $\sum_{n=1}^{\infty} \left(\frac{\sin(n)}{n}\left ( \sum_{m=1}^{n}\frac{1}{m} \right )\right)$ converge? [duplicate]

I am trying to determine whether the

$$\sum_{n=1}^{\infty} \left(\frac{\sin(n)}{n}\left ( \sum_{m=1}^{n}\frac{1}{m} \right ) \right)$$

converges or not. I have tried the popular tests, but all were inconclusive (so perhaps I am doing it wrong...).

I would appreciate any help and explanation on how I should solve it.

Thanks.