Graphical convergence --- Introduction ---

A function f : 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: , , ,
and the number of sequences in one session: , , , , , , ,
then

Other exercises on: sequences   Convergence   Limit  

The most recent version


This page is not in its usual appearance because WIMS is unable to recognize your web browser.

In order to access WIMS services, you need a browser supporting forms. In order to test the browser you are using, please type the word wims here: and press ``Enter''.

Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

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