Taylor Polynomial Approximation

Definition

The Taylor polynomial approximation is a way to approximate a function using polynomials. It involves finding the coefficients of the polynomial that match the values and derivatives of the original function at a specific point.

Related terms

Maclaurin Series:

A Maclaurin series is a special case of Taylor series where the center point for approximation is 0 (zero).

Remainder Term: The remainder term in Taylor polynomial approximation represents how much error there might be between the actual value of a function and its approximation using polynomials.

Infinite Series:

An infinite series is an expression obtained by adding together infinitely many terms, usually following some pattern or rule.