# Flatten --- Introduction ---

This module is an exercise on the infinitesimals (and its notation by O and/or o). The server generates a function $f\left(x\right)$ of one real variable $x$, containing parameters ${a}_{1}$, ${a}_{2}$,... Your aim is to find values for these parameters${a}_{i}$ such that $f\left(x\right)$ 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 $f\left(x\right)$. 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.

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