Taylor

Computes the Taylor series of a function.

Syntax

taylor(Function, Identifier, Natural)
taylor(Function, Identifier, Real, Natural)

Description

Given an expression fx1,...,xn, an identifier xi and an integer n, computes the Taylor series of fx1,...,xn expanding it with respect to xiLaTeXx_i around the origin up to order nLaTeXn.

calculus.taylor1.calc.png

Given an expression fx1,...,xnLaTeXf\left(x_1, ..., x_n\right), an identifier xiLaTeXx_i, a real x0 and an integer nLaTeXn, computes the Taylor series of fx1,...,xnLaTeXf\left(x_1,...,x_n\right) expanding it with respect to xiLaTeXx_i around x0LaTeXx_0 up to order nLaTeXn.

calculus.taylor2.calc.png