Taylor series

Computes the Taylor polynomial of an expression around a given value up to a specified order.

Syntax

taylor(Expression, Variable, Order)
taylor(Expression, Variable, Order, Value)

Examples

Taylor approximation and dynamic values

Explore Taylor polynomial approximations by changing the degree with a slider. Set the slider step to 1 (integer) so the degree increases logically. Note that the taylor function calculates the polynomial around the origin (x=0) by default, unless a development center is specified separately.