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Sum of the Alternating Harmonic Series (I)
The graph shows that:
The purple area is
.
The blue area is
.
The green area is
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The yellow area is
.
Therefore
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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D. D. Bonar and M. Khoury, Jr., "Real Infinite Series," Washington, DC: Mathematical Association of America, 2006 p. 201.
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Alternating Harmonic Series
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Wolfram
MathWorld
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"
Sum of the Alternating Harmonic Series (I)
" from
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http://demonstrations.wolfram.com/SumOfTheAlternatingHarmonicSeriesI/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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