# $$\pi$$ is everywhere!

Calculus Level 4

$\large \lim_{n\to \infty} \dfrac{ (2n-1)!!}{(2n)!!} \sqrt n$

Given that the limit above is equal to $$\pi^{-A /B}$$, where $$A$$ and $$B$$ are coprime positive integers, find $$A+B$$.

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