10178
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Leibniz Criterion for Alternating Series
An alternating series
converges if
and
. Even partial sums
form an increasing sequence and odd partial sums
form a decreasing sequence; their limit is the same.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
SNAPSHOTS
RELATED LINKS
Alternating Series Test
(
Wolfram
MathWorld
)
Leibniz Criterion
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Leibniz Criterion for Alternating Series
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LeibnizCriterionForAlternatingSeries/
Contributed by:
Izidor Hafner
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
Accuracy of Series Approximations
Fred E. Moolekamp III and Kevin L. Stokes
The P-Series Theorem
Patrick W. McCarthy
Zeros of Truncated Series of Elementary Functions
Michael Trott
Series: Steps on a Number Line
Abby Brown and MathematiClub (Torrey Pines High School)
Gregory Series
Michael Schreiber
Rearranging the Alternating Harmonic Series
Ed Packel (Lake Forest College) and Stan Wagon (Macalester College)
Sum of the Alternating Harmonic Series (II)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Sum of the Alternating Harmonic Series (I)
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Plot of a Geometric Sequence and Its Partial Sums
Aaron Dunigan AtLee
Taylor Polynomials Approximated by Interpolations
Sungkon Chang
Related Topics
Calculus
College Mathematics
Series
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+