Wallis Formula
Wallis Formula
The slowly convergent Wallis formula for ==1.57079... follows from the infinite product representation for , when At each step, the outermost green segment represents the cumulative value of the product and the yellow segment represents the error relative to .
π
2
∞
∏
n=1
2
(2n)
(-1+2n)(1+2n)
sin(x)=x1-
∞
∏
n=1
2
x
2
n
2
π
x=.
π
2
π
2
External Links
External Links
Permanent Citation
Permanent Citation
Michael Schreiber
"Wallis Formula"
http://demonstrations.wolfram.com/WallisFormula/
Wolfram Demonstrations Project
Published: September 28, 2007