Talk:Taylor series

From Citizendium
Jump to: navigation, search
This article is developing and not approved.
Main Article
Related Articles  [?]
Bibliography  [?]
External Links  [?]
Citable Version  [?]
Code [?]
To learn how to update the categories for this article, see here. To update categories, edit the metadata template.
 Definition Representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. [d] [e]
Checklist and Archives
 Workgroup category Mathematics [Categories OK]
 Talk Archive none  English language variant Not specified

I just changed what I'd inserted previously. Part of it now says:

So it continues, adding corrections to corrections, and in the limit, if it converges then it converges to the actual value of even if and are far apart.

I'm not sure this is worded quite correctly or clearly either. I had forgotten to take into account that it doesn't necessarily converge e.g. if x-a>1. --Catherine Woodgold 11:28, 5 May 2007 (CDT)


Dmitrii, could you introduce Taylor series of functions on ? I sometimes refer to those. Thanks,--Paul Wormer 12:39, 19 December 2008 (UTC)