taylor

Taylor series expansion

Syntax

T = taylor(f, x)
T = taylor(f, x, a)
T = taylor(f, x, a, n)

Description

Computes the Taylor series expansion of f around the point a (default 0). Returns a polynomial approximation with n terms (default 6). The result is a symbolic polynomial representing the truncated Taylor series.

Parameters

Name	Description
f	Symbolic expression to expand
x	Expansion variable
a(optional)	Expansion point (default: 0)
n(optional)	Number of terms (default: 6)

Returns

Taylor polynomial

Examples

Try It

>> syms x; taylor(exp(x), x, 0, 4)

1 + x + x^2/2 + x^3/6