# Taylor --- Introduction ---

Taylor is an exercise of computation on algebraic manipulations of Taylor expansions of real functions. It gives you 1 or 2 Taylor expansions as well as a formula, and asks you to compute the Taylor expansion of the function according to the formula.

The formula may be of different types: addition, multiplication, division, square, composition, inverse, differentiation, integration, etc.

 Choose the types of the exercise : (the number indicates difficulty level) 1. Addition f+g 1. Derivative f' 1. Derivative of sum (f+g)' 1. Linear combination af+bg 1. Mixed addition 1. Sum with derivative f+f' 2. Derivative of product (f*g)' 2. Integral 2. Mixed multiplication 2. Multiplication f*g 2. Multiplication with derivative f*f' 2. Polynomial of f 2. Square f^2 2. Square of sum (f+g)^2 2. Sum of squares f^2+g^2 3. Composition f(g(x)) 3. Division f/g 3. Function 1/f 4. Inverse composition I 4. Inverse composition II 4. Inverse fonction f^-1 4. Linear fraction The center of the expansion will be always 0 (easier) random (harder) Order of the expansion = 2 3 4 5 6 7 8

Remarks. The exercises will be taken randomly in the list of your choice. If your choice is empty, all the available exercises will be considered.

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