Convergence of a Monotonic Sequence

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The plot shows the function at the points
The pair of green lines meet at a point
—you can click or drag the lines to change it. Dragging to the right increases how much of the domain of the function is visible. The blue line is the limit of the function as
.
Contributed by: Anik Debnath and Thomas Roxlo (The Harker School) (March 2011)
Open content licensed under CC BY-NC-SA
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"Convergence of a Monotonic Sequence"
http://demonstrations.wolfram.com/ConvergenceOfAMonotonicSequence/
Wolfram Demonstrations Project
Published: March 7 2011