My Maple input `limit(sin(1/n)*n,n=infinity);` says 1.

I don't understand why
$$
\lim\_{n \to \infty} \sin\left(\frac{1}{n}\right) \cdot n = 1
$$

I know that $\lim\_{n \to \infty} 1/n = 0$, so it kind of says "0 \* infinity = 1".

Have I overlooked some rewriting of $\sin(1/n) n$?