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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 xix_i around x0x_0.

calculus.taylor_series1.calc.png

Given an expression fx1,...,xnf\left(x_1, ..., x_n\right), an identifier xix_i, a real x0x_0 and an integer n, computes the Taylor series of fx1,...,xnf\left(x_1,...,x_n\right) expanding it with respect to xix_i around x0x_0 up to order nn.

calculus.taylor_series2.calc.png