# The fact that it's all about $$P$$ and $$I$$!

Calculus Level 3

$\large P = \prod_{k=1}^\infty \left( \dfrac{2k}{2k-1} \cdot \dfrac{2k}{2k+1} \right)$

$\large I = \displaystyle \int_0^1 \sqrt{1-x^2} \,dx$

Let $$P$$ and $$I$$ be as defined above. What is the relation between $$P$$ and $$I$$?

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