Maclaurin & Taylor Series

Taylor Series

From the Wikipedia:

"In mathematics, the Taylor series of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point."

$\large g(x) = \sum\limits_{n=0}^{\infty} \frac{f^{(n)}(p)}{n!}(x-p)^n$

Maclaurin Series

A Taylor series expansion of a function about 0

$\large g(x) = \sum\limits_{n=0}^{\infty} \frac{f^{(n)}(0)}{n!}x^n$