Sum of the Alternating Harmonic Series (I)

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The graph shows that:

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The purple area is .

The blue area is .

The green area is.

The yellow area is .

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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Details

D. D. Bonar and M. Khoury, Jr., "Real Infinite Series," Washington, DC: Mathematical Association of America, 2006 p. 201.



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