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The Sum of the Harmonic Progression as an Integral
The sum of the harmonic progression
is the same as the integral
. The area under the graph shows their common value.
Contributed by:
Tommy Zenth
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Let
, differentiating it to get
. Therefore
.
RELATED LINKS
Harmonic Series
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Sum of the Harmonic Progression as an Integral
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheSumOfTheHarmonicProgressionAsAnIntegral/
Contributed by:
Tommy Zenth
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