Question

Does a taylor/mclaurin(sp?) series equal the intended function as the number of addon derivatives goes to infinity?

Answer 1

The value of the summation is the value of the function at the particular point you're looking at.

Answer 2

Think there is a difference between a finite Taylor polynomial and an infinite Taylor series...

Answer 3

I was looking thru the remainder error stuff in my book and was wondering if there was a way to determine the value of the error ....

Answer 4

For the poly, right?

Answer 5

correct

Answer 6

Yes, there is...

Answer 7

Can't remember all the details, got it somewhere, let me look...

Answer 8

It's Taylor's Theorem, isn't it?

Answer 9

Yes, that's the full blown version of the remainder function.

Answer 10

http://en.wikipedia.org/wiki/Taylor%27s_Theorem

Answer 11

as far as i know the difference between the taylor and the maclaurin is that taylor is a generalization with (x-a)^n stuff attached to it and maclaurin is when a=0

Answer 12

I usually say a Taylor at 0 is the same a Maclaurin, upsets the Scots:-)

Answer 13

Yes, that is the difference. One is approximating the value of the function about an arbitrary point. the other is approximating it about 0.