Taylor polynomial approximations

Definition

A Taylor polynomial approximation is a way to estimate the value of a function using a polynomial. It allows us to represent a complicated function with a simpler one, which makes calculations easier.

Related terms

Taylor series: A Taylor series is an infinite sum of terms used to represent a function as an infinitely differentiable power series.

Maclaurin series: A Maclaurin series is a special case of the Taylor series where the center point is at x = 0.

Error bound: The error bound represents how close the approximation made by a Taylor polynomial is to the actual value of the function.