Maclaurins Series Proof

Mathematicus65

Does anyone know if you are required to be able to prove Maclaurins Theorem for FP2 OCR (not MEI) A2??

Reply 1

username1560589

Original post by Mathematicus65

Does anyone know if you are required to be able to prove Maclaurins Theorem for FP2 OCR (not MEI) A2??

www.google.co.uk is where you can find your answer. You may as well learn how to prove it anyway.

Reply 2

DFranklin

Original post by Mathematicus65

Does anyone know if you are required to be able to prove Maclaurins Theorem for FP2 OCR (not MEI) A2??

I very much doubt it - without wanting to be horribly snarky, I suspect any proof of Maclaurin done pre-university leaves rather a lot to be desired anyhow.

More realistically, you've probably had a "demonstration" of why if we can write

f(x) = \sum a_k x^k

, then

a_k = f^{(k)}(0) / k!

. The argument is easy enough to memorize and the approach may come in handy for certain types of question, even though I still think it's unlikely you'd ever be specifically asked to reproduce it.