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Sum of the Alternating Harmonic Series (II)

The striped yellow area is , so .
The striped blue area is , so .
So , and therefore
.

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

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"Sum of the Alternating Harmonic Series (II)" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/SumOfTheAlternatingHarmonicSeriesII/
Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa




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