Taylor series

Computes the Taylor series of a function.

Syntax

taylor_series(Function, Identifier, Real)
taylor_series(Function, Identifier, Real, Natural)

Description

Given an expression fx1,...,xn, an identifier xi and a real x0, computes the Taylor series of fx1,...,xn expanding it with respect to xiLaTeXx_i around x0LaTeXx_0.

calculus.taylor_series1.calc.png

Given an expression fx1,...,xnLaTeXf\left(x_1, ..., x_n\right), an identifier xiLaTeXx_i, a real x0LaTeXx_0 and an integer n, 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.taylor_series2.calc.png