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.
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