This module is an exercise on the infinitesimals (and its notation by O and/or o). The server generates a function of one real variable , containing parameters , ,... Your aim is to find values for these parameters such that is infinitesimal to a required order, at the neighborhood of a given point .
Except the trivial levels, one solves the problem by the Taylor expansion of . 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 .
Detailed menu for the parameters of this exercise. The most recent versionPlease 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.