- #1
keeper1
- 1
- 0
I stumbled upon this infinite series that converges to [itex]\pi[/itex]:
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.
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.