# sin(sin(sin(...))) = ?

Calculus Level 5

Let $$x_0=1$$. Define by recursion $$x_{n+1}=\sin(x_n)$$. Calculate $$\lim_{n\rightarrow \infty} \sqrt{n}x_n$$.

Give your answer as the number rounded to 3 decimal places behind the decimal point.

Note: The trigonometric function is in radians.

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