I have:
the series $\sum_{n=0}^{\infty} \frac{(2+\sin n)}{5^n} $.
I have split this up into $\sum_{n=0}^{\infty} \frac{2}{5^n} + \sum_{n=0}^{\infty} \frac{\sin n}{5^n}$. I know the first part is convergent by using geometric, but I am not sure how to approach the second part. Please help, thank you!