11481
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Mapping a Convergent Sequence by a Continuous Function
This Demonstration illustrates the following theorem: If
and
is continuous at
, then
.
Contributed by:
Izidor Hafner
THINGS TO TRY
Gamepad Controls
SNAPSHOTS
RELATED LINKS
Continuous Function
(
Wolfram
MathWorld
)
Convergent Sequence
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Mapping a Convergent Sequence by a Continuous Function
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/MappingAConvergentSequenceByAContinuousFunction/
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
A Convergent Sequence Satisfies the Cauchy Criterion
Izidor Hafner
Limit of the Sequence a^(1/n)
Izidor Hafner
Three Sequences with Limit e
Izidor Hafner
Uniform Convergence of a Sequence of Functions
A Monotone Sequence Bounded by e
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Orbits of the Tent Function's Iterates
Bernard Vuilleumier
Bolzano's Continuous but Nowhere Differentiable Function
Izidor Hafner
Limit of a Sequence
Izidor Hafner
Supremum of an Increasing Bounded Sequence
Izidor Hafner
Bolzano's Function
Izidor Hafner
Related Topics
Analysis
Calculus
Sequences
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+