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General Category => General Talk => Topic started by: Marmot on April 11, 2008, 02:16:37 am

Title: calculus help
Post by: Marmot on April 11, 2008, 02:16:37 am

ok

i dontr know how the fuck should i get the taylor serie at x=0 of

x^2/(1-2x)

i am getting really pissed off heeeeeeeeeeeeelp please

Title: calculus help
Post by: Team Orange on April 12, 2008, 12:40:42 pm

Wikipedia is always good for maths stuff:
http://en.wikipedia.org/wiki/Taylor_series

What you want is the first bit of the definition. In your case, for the Taylor series at x=0, you've got a = 0.  Also, your f(x) = x^2/(1 - x). So f(0) = 0/1 = 0. You need to evaluate the derivatives of x^2/(1 - x) at the point x = 0.

You'll end up with:

f(0) + f'(0) x + (1/2!) f''(0) x + (1/3!) f'''(0) x^2 + ... and so on.

! means factorial btw.

Title: calculus help
Post by: Marmot on April 12, 2008, 08:30:34 pm

lol I solved it days ago but thanks anyway!