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Sum of the Alternating Harmonic Series (II)

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The striped yellow area is , so .

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The striped blue area is , so .

So , and therefore

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Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA

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Reference: N. Schaumberger, "Mathematics without Words," The College Mathematics Journal, 33(1), 2002 p. 23.

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