The server generates a function *f* (x) of one real variable x, containing
parameters a_{1},a_{2},... Your aim is to find values
for these parameters a_{i} such that *f* (x) is infinitesimal to a
required order, at the neighborhood of a given point x_{0}.

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

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: 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