Examining the Taylor Series - Confused?

[vrc]

hello,

I'm examinating the theorem of power series, specially taylor series
I know a function f(x) can be written as a series of polynomials.
but using the taylor series it says that the convergence of that function is about a point a

by using the Maclaurinseries a = 0 , so examinating e^x by Maclauring is is the approximation at the origin of the graph

Am I wrong with this...
little bit confused

grtz

 

[daveyp225]

Yes a maclaurin polynomial is an approximation of the function at 0. See http://mathworld.wolfram.com/MaclaurinSeries.html.

 

[vrc]

ok, thank you !

grtz