Does $\sum\frac{\sin n}{n!}$ converge?
Because of n! I thought of the ratio test, but the sin(n) would be a problem. Any tips?
2026-04-28 20:26:24.1777407984
Does $\sum\frac{\sin n}{n!}$ converge?
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Hint:
$$\left|\frac{\sin n}{n!}\right|\le\frac1{n!}$$