10392
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Limit Laws
Pairs of functions can be combined in six standard ways. The pairs are plotted as dashed curves and their combination as a solid brown line. The limit of the combination as
approaches 1 is the height of the red dot.
Contributed by:
Ed Pegg Jr
SNAPSHOTS
DETAILS
If
,
,
, and
are real numbers and
and
, then
1. Sum Rule:
2. Difference Rule:
3. Product Rule:
4. Constant Multiple Rule:
5. Quotient Rule:
, if
M
≠0
6. Power Rule:
, if
and
RELATED LINKS
Limit
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Limit Laws
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/LimitLaws/
Contributed by:
Ed Pegg Jr
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
A Geometric Limit Problem
Jaime Rangel-Mondragon
Infinite Limit at Infinity
Abby Brown
Finite Limit at Infinity
Abby Brown
Epsilon-Delta Definition of Limit
Ferenc Beleznay
Nonexistence of a Multivariable Limit
Laura R. Lynch
Infinite Limit at a Finite Point
Abby Brown
Finite Limit at a Finite Point
Abby Brown
Limit of the Sequence a^(1/n)
Izidor Hafner
Using the Area under a Curve to Compute a Limit
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Limits: A Graphical and Numerical Approach
Aori Nevo
Related Topics
Calculus
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+