Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent

Show that $\sum_{n=1}^{\infty} \frac{\sin n}{n}$ is convergent. 

I was trying to use the Dirichlet test, but couldn't verify that the conditions of the Dirichlet test are satisfied. 


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Erdos Erdos
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