I stumbled upon this infinite series that converges to [itex]\pi[/itex]:(adsbygoogle = window.adsbygoogle || []).push({});

4[itex]\sum\frac{\sqrt{n^2-i^2}}{n^2} [/itex] for i = 1:n as n[itex]{\rightarrow∞}[/itex]

I haven't been able to find any similar series online and I'm really curious how to prove this does indeed converge to [itex]\pi[/itex]. Any insight would be greatly appreciated.

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# Infinite series that converges to pi

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