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Pi as a continued fraction (2)

Pi.

Pi, like every irrational number, can be represented by an infinite series of nested fractions, called a continued fraction.

\pi=\frac{4}{1+\frac{1^2}{2+\frac{3^2}{2+\frac{5^2}{2+\frac{7^2}{2+\frac{9^2}{2+\ddots}}}}}}

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