Taylor Series

Definition

A Taylor series is an expansion of a function into an infinite sum of terms, where each term represents the contribution from different derivatives of the function at a specific point.

Related terms

Power Series:

A special type of Taylor series where each term involves powers (exponents) of x.

Radius of Convergence:

The distance from the center point at which a power series converges to its original function.

Remainder Estimation Theorem: A theorem used to estimate how closely an approximation using only some terms in a Taylor series matches the actual function.