Limit of sin(1/n)*n

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 $\sin(1/n) n$?