Iterating Rational Functions
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This Demonstration allows you to explore the effect of iterating a selection of polynomial and rational functions, showing three types of fixed points, 
:
Contributed by: Philip Lee (April 2009)
Open content licensed under CC BY-NC-SA
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Experiment with different initial values and numbers of iterations. Some iterations settle down into 
-cycles that you can see by setting "iterations to display" to a smaller value than the number of iterations computed.
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