Brouncker's Formula
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Theorem
- $\displaystyle \frac 4 \pi = 1 + \cfrac {1^2} {2 + \cfrac {3^2} {2 + \cfrac {5^2} {2 + \cfrac {7^2} {2 + \cfrac {9^2} {2 + \cdots}} }}}$
Proof
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Source of Name
This entry was named for William Brouncker.
Sources
- George F. Simmons: Calculus Gems (1992): Chapter $\text{B}.12$ (footnote)
