Approximating Catalan's Constant

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Catalan's constant is the alternating sum of the reciprocals of odd squares, . The area of each green region is the sum of a positive/negative pair of terms. Thus the total green area approaches Catalan's constant. Use the slider to change the number of term pairs considered.
Contributed by: Michael Schreiber (March 2011)
Open content licensed under CC BY-NC-SA
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"Approximating Catalan's Constant"
http://demonstrations.wolfram.com/ApproximatingCatalansConstant/
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Published: March 7 2011