Taylor Series

July 14th, 2010

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

$Taylor Series$

$Taylor Series$ represents the nth derivative of f at point a.

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

$Maclaurin Series$

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

sin x = $Maclaurin Series for Sin x$

cos x = $Maclaurin Series for Cos x$

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