The problem states : Find the Taylor's polynomial of degree of the function in the point .
My attempt: I've calculated the polynomial of degree and . ( I doubt my choice of degree is a good one... but as there's no restriction over , I can guess it is not a bad choice.)
I got that and .
So , .
I can't believe my result. Calculating seems a really long work! Have I done what I've done right?
Thanks for the quick response.
Oh... I didn't realize that I could use .
A stupid question from my part : from your formula, is and , , etc...?
If so then I was right by saying that . (I don't think I was right since it would imply that , no matter what is).
Oh! I just realized my error...
is right and thanks to you. It's obvious that any of these polynomials evaluated in give 1!
I don't know what I was thinking, I thought that the whole polynomial was worth 1 and that there were a polynomial for every values of x and y. Senseless.