11552
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Convergence Behavior of a One-Parameter Family
Let
, for
. For any
,
. Moreover:
1. If
, then
is strictly increasing.
2. If
, then
is strictly decreasing.
3. If
, then
has exactly one local minimum and it is the absolute minimum.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
SNAPSHOTS
DETAILS
Reference: C. X. Kang and E. Yi, "The convergence behavior of
,"
The College Mathematics Journal
,
38
(5), 2007 pp. 385–386.
RELATED LINKS
Limit
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
The Convergence Behavior of a One-Parameter Family
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheConvergenceBehaviorOfAOneParameterFamily/
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
Convergence of a Hyperpower Sequence
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Family of Curves, Tangents, and Intuition
Jacqueline Zizi
Power Series Interval of Convergence
Olivia M. Carducci (East Stroudsburg University)
Convergence of Newton's Method for Approximating Square Roots
Andrzej Kozlowski
A Recursive Sequence Convergent to e
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Elliptic Hyperboloid of One Sheet
Jeff Bryant
Using the Area under a Curve to Compute a Limit
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Fermat's Theorem on Stationary Points
Julio Cesar de la Yncera
Theorems of Pappus on Surfaces of Revolution
S. M. Blinder
Analysis of a Family of Curves
Dieter Küntzer
Related Topics
Calculus
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+