(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the Maclaurin series of [tex] f(x) = x^2cos(x) [/tex]

2. Relevant equations

I got the answer to be (sum from n=1 to infinity) [tex] \frac{(-1)(^n+1)x(^2n)}{(2n-2)!} [/tex] and the formula for the remainder is [tex] R_n(x) = \frac{f(^n+1)(c)}{(n+1)!}x(^n+1) [/tex]

(I have no idea how to make those exponents work, So I hope you know what the formula says .)

3. The attempt at a solution

I am pretty sure the answer (not including the remainder) is correct, I just have no idea how to find the remainder using that formula. Don't even know how to apply it.

EDIT: Is it even necessary to find the remainder? Whenever I watch a tutorial on Maclaurin series they never find the remainder... so should I just assume that the Maclaurin series is a good representation of f(x) without calculating the remainder?

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# Homework Help: Remainder for Maclaurin Series

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