--- Introduction ---

This module is an exercise on the infinitesimals (and its notation by O and/or o).

The server generates a function f (x) of one real variable x, containing parameters a1,a2,... Your aim is to find values for these parameters ai such that f (x) is infinitesimal to a required order, at the neighborhood of a given point x0.

Except the trivial levels, one solves the problem by the Taylor expansion of f (x). In the difficult cases, the resolution of a system of linear equations is also necessary.

Choose the level of difficulty suitable for you: 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 .

There is also a detailed menu for the parameters of this exercise. The most recent version

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Description: parametrize a function to make it infinitesimal at a point. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, analysis, algebra, continuity, derivability, limit, infinitesimal