# Recurring Styles #6 - Trigonometric Recurrence!

Calculus Level 5

$\Large{ x_{n+1} = \sin(x_n)}$

Let $$x_0 \in (0, \pi)$$ and define the sequence $$(x_n)_{n=0}^\infty$$ by the recurrence relation given above. Find the value of the following upto 3 places of decimals:

$\large{\lim_{n \to \infty} x_n \sqrt{n} = \ ? }$

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