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Euler's Infinite Pi Formula Generator
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- 1 Intro
- 2 A sine of madness. Euler's ingenious derivation of the product formula for sin x
- 3 Wallis product formula for pi: pi/2 = 2*2*4*4*6*6*.../1*3*3*5*5*...
- 4 Leibniz-Madhava formula for pi: pi/4=1-1/3+1/5-1/7+...
- 5 Brouncker's infinite fraction formula for pi: 4/pi = ...
- 6 Euler's solution to the Basel problem: pi^2/6=1/1^2+1/2^2+1/3^2+...
- 7 More Basel formulas for pi involving pi^4/90=1/1^4+1/2^4+1/3^4+... , etc.
