I'm doing some textbook problems in Burden and Faires *Numerical Analysis*, when I encountered this question that I did not understand how to do. 

How would I go about finding the rate of convergence for 

$$\lim\_{n\to\infty}\sin\dfrac{3}{n}=0$$

I know that it is true, because $\dfrac{3}{n}$ goes toward $0,$ and $\sin0=0$, but I don't know the method/ procedure in order to calculate the order of convergence for this. Any help or tips would be appreciated. Thanks!