11562
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Sum of the Alternating Harmonic Series (I)
The graph shows that:
The purple area is
.
The blue area is
.
The green area is
.
The yellow area is
.
Therefore
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
THINGS TO TRY
Rotate and Zoom in 3D
SNAPSHOTS
DETAILS
D. D. Bonar and M. Khoury, Jr., "Real Infinite Series," Washington, DC: Mathematical Association of America, 2006 p. 201.
RELATED LINKS
Alternating Harmonic Series
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Sum of the Alternating Harmonic Series (I)
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SumOfTheAlternatingHarmonicSeriesI/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Sum of the Alternating Harmonic Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of a Geometric Series
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of a Telescoping Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of Reciprocals of Triangular Numbers
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of a Telescoping Series
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Arithmetic-Geometric Mean Inequality (I)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Power Series Interval of Convergence
Olivia M. Carducci (East Stroudsburg University)
Rearranging the Alternating Harmonic Series
Ed Packel (Lake Forest College) and Stan Wagon (Macalester College)
Bounding Partial Sums of the Harmonic Series
Matt Clay
Taylor Series
Michael Ford
Related Topics
Area
Calculus
Series
Theorem Proving
High School Calculus and Analytic Geometry
High School Mathematics
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+