How to calculate the following limit $$ \lim_{n\to\infty}\sqrt{n}\underbrace{\sin(\sin(\sin(\sin\cdots\sin(\frac{1}{\sqrt{n}}) \cdots )))}_{n \sin's}? $$
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How to calculate the following limit $$ \lim_{n\to\infty}\sqrt{n}\underbrace{\sin(\sin(\sin(\sin\cdots\sin(\frac{1}{\sqrt{n}}) \cdots )))}_{n \sin's}? $$
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