Graphical convergence
--- Introduction ---

A function f : RR to RR may define a sequence (un) with a starting point u1, by the formula

un+1 = f (un) .

This sequence is called recursive sequence. The convergence of such a sequence depends on f  as well as on u1, and is a very interesting problem.

Graphical convergence is a graphical exercise on recursive sequences. It randomly draws the graph of a function and a starting value u1, then asks you to determine the convergence of the sequence according to the graph.

You may choose the difficulty level:  1,  2,  3,  4
and the number of sequences in one session:  1,  2,  3,  4,  5,  6,  7,  8
then

Other exercises on: sequences   convergence   limit  

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Description: determine the limit of a recursive sequence according to the graph of the function. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, analysis, calculus, function, sequence, curve, limit, convergence, graph