Question

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

Answer 1

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.

Explanation:

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`