Gauss-Legendre Approximation of Pi

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This Demonstration gives a Gauss–Legendre approximation of . With the initial values

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, , ,

and using the recurrence relations

, , , ,

we can approximate by

.

This converges very quickly as you can see by increasing .

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Contributed by: Russ Johnson (August 2011)
Open content licensed under CC BY-NC-SA


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