What is the difference between a Taylor series and a MacLaurin series?

1 Answer
Nov 18, 2015

When a Taylor series is centered at zero it is known as a MacLaurin series. So MacLaurin's series is a special case of Taylor's series.


The Taylor series is given by

#f(a) + f'(a)(x-a) + (f''(a))/(2!)(x-a)^2 + ...+(f^((n))(a))/(n!)(x-a)^n#

For this to be a MacLaurin's series:

#a = 0#