Maclaurin Polynomial

Definition

A Maclaurin polynomial is a type of Taylor polynomial that is centered at the point x = 0. It is used to approximate a function by adding up terms of different powers of x.

Related terms

Taylor Series:

A Taylor series is an infinite sum of terms that represent the values of all derivatives of a function at a given point. It can be used to approximate functions around any point, not just x = 0.

Power Series:

A power series is an infinite sum of terms where each term contains powers of x multiplied by coefficients. It can be used to represent functions as well as approximate them.

Remainder Term: The remainder term in a Taylor or Maclaurin polynomial represents the difference between the actual value of the function and its approximation using only a finite number of terms from the series.