9711
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
A Monotone Sequence Bounded by e
The slope of the black line is less than the slope of the red line, which is less than the slope of the line
. Then for each
we have:
, therefore
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
SNAPSHOTS
DETAILS
Reference: R. B. Nelsen, "Proof without Words: A Monotone Sequence Bounded by e,"
Mathematics Magazine
,
67
(5), 1994 p. 379.
RELATED LINKS
e
(
Wolfram
MathWorld
)
Monotone Sequence
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
A Monotone Sequence Bounded by e
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/AMonotoneSequenceBoundedByE/
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
A Recursive Sequence Convergent to e
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Limit of the Sequence a^(1/n)
Izidor Hafner
Limit of the Sum of Two Sequences
Izidor Hafner
Three Sequences with Limit e
Izidor Hafner
Uniform Convergence of a Sequence of Functions
A Convergent Sequence Satisfies the Cauchy Criterion
Izidor Hafner
Mapping a Convergent Sequence by a Continuous Function
Izidor Hafner
Convergence of a Hyperpower Sequence
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Repeated Power Function
Bill Collins
Euler's Method for the Exponential Function
Arnaud Crouzet
Related Topics
Analysis
Calculus
Exponents and Logarithms
Sequences
Theorem Proving
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+