10680
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The P-Series Theorem
The area under the graph of
is the integral
, which is infinite when
and finite when
. The integral test implies that the
-series
diverges when
and converges when
.
Contributed by:
Patrick W. McCarthy
SNAPSHOTS
RELATED LINKS
p-Series
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The P-Series Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ThePSeriesTheorem/
Contributed by:
Patrick W. McCarthy
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 a Telescoping 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
Numerical Inversion of the Laplace Transform: The Fourier Series Approximation
Housam Binous
Accuracy of Series Approximations
Fred E. Moolekamp III and Kevin L. Stokes
Leibniz Criterion for Alternating Series
Izidor Hafner
Series: Steps on a Number Line
Abby Brown and MathematiClub (Torrey Pines High School)
Zeros of Truncated Series of Elementary Functions
Michael Trott
The Fundamental Theorem of Calculus
Chris Boucher
Comparing Fourier Series and Fourier Transform
Martin Jungwith
Gregory Series
Michael Schreiber
Related Topics
Calculus
College Mathematics
Integrals
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+