Thread: Difference between x = a and x = 0 in a Taylor series

I know taylor series says that:

Let be a function with derivatives of all orders throughout some interval containing
as an interior point. Then the Taylor series generated by at is:



So what do we mean when we say at for the above definition? And what is meant when we use the above definition for ?

Is it possible to kindly clarify these two (I'm not sure about the difference between two)?

Don't worry. Found the answer.

Taylor Series -- from Wolfram MathWorld

"The Taylor (or more general) series of a function f(x) about a point a up to order n may be found using Series[f, {x, a, n}] ......."

I understand it as centered at a. When it's centered at 0 its called the Mclaurin Series.

Originally Posted by delgeezee

I understand it as centered at a. When it's centered at 0 its called the Mclaurin Series.

Thanks a lot.