11,000+
Interactive Demonstrations Powered by Notebook Technology »
TOPICS
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