# Unravel

Calculus Level pending

$$Let$$

\begin{align} u_1 & = 0 \\ u_{n + 1} & = \sqrt{(1 + u_{n})/2} \\ P_{n} & = 2^{n + 1} \sqrt{2 (1 - u_{n}}) \end{align}

$$Find$$ $$\lim_{n\to\infty}P_{n}$$ $$(express$$ $$the$$ $$answer$$ $$to$$ $$two$$ $$decimal$$ $$places).$$

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