- #1
RJLiberator
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Homework Statement
Consider:[/B]
F(x) =[itex] \int_0^x e^{-x^2} \, dx [/itex]
Find the Taylor polynomial p3(x) for the function F(x) centered at a = 0.
Homework Equations
Tabulated Taylor polynomial value for standard e^x
The Attempt at a Solution
[/B]
I started out by using the tabulated value for Taylor polynomial e^x and replaced all x with -x^2.
Going to the degree of three I received:
e^(-x)^2 = 1 - (x^2)/1! + x^4/2! - x^6/3!
Is this all there is to it? The question simply states to find the Taylor Polynomial p3(x) for the function, nothing else. I don't need to find the sum or the remainder per the problems question. Correct?
If I were to go at the sum, would I integrate each value?
Thank you for any help, I think I am just getting used to the wording here more than anything.