Taylor series and Maclaurin series

Taylor Series Expansion

Taylor series is the expansion of a function f into a power series about the point a. Taylor series expansion is as follows:

 represents the nth derivative of f at point a.

Maclaurin Series

Maclaurin series is the special case of Taylor Series expansion when a = 0.

Maclaurin series expansions of sin x and cos x are given by:

sin x =

cos x =