11408
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Supremum of an Increasing Bounded Sequence
The supremum (or least upper bound) of a sequence
is a number
fulfilling the following conditions.
1. For all
,
.
2. For all
, there exists an
such that
.
In the case of an increasing bounded sequence,
.
Contributed by:
Izidor Hafner
SNAPSHOTS
RELATED LINKS
Limit
(
Wolfram
MathWorld
)
Supremum
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Supremum of an Increasing Bounded Sequence
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/SupremumOfAnIncreasingBoundedSequence/
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
Limit of a Sequence
Izidor Hafner
A Convergent Sequence Satisfies the Cauchy Criterion
Izidor Hafner
Limit of the Sequence a^(1/n)
Izidor Hafner
Mapping a Convergent Sequence by a Continuous Function
Izidor Hafner
Three Sequences with Limit e
Izidor Hafner
Limit of the Sum of Two Sequences
Izidor Hafner
A Monotone Sequence Bounded by e
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Convergence of a Hyperpower Sequence
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Convergence of a Monotonic Sequence
Anik Debnath and Thomas Roxlo (The Harker School)
Uniform Convergence of a Sequence of Functions
Related Topics
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+