Talk:Taylor series

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 $f(x)$ even if $x$ and $a$ 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)