Finding Value of C36-C37+C38 in f(x) McLaurin Series

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The discussion focuses on finding the coefficients C36, C37, and C38 in the McLaurin series for the function f(x) = 1/(x^2+x+1). The user has derived the Taylor series as the difference between two sums, specifically involving terms of x raised to multiples of three. There is confusion regarding how to determine the coefficients C_n based on their relation to multiples of three. The key question revolves around identifying the values of C_n for n being a multiple of 3, one more than a multiple of 3, and one less than a multiple of 3. The goal is to calculate the expression C36 - C37 + C38 using these coefficients.
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Homework Statement



Let f(x) = 1/(x^2+x+1).

Let f(x) = sum(from o to infinity) Cn x^n be the McLaurin Series representation for f(x). Find the value of C36-C37+C38.

Homework Equations





The Attempt at a Solution



I got the Taylor Series:

sum(from o to infinity) x^3n - sum(from o to infinity)x^(3n+1).

but have absolutely no idea what to do next. Please help!:cry:
 
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What is C_n if n is a multiple of 3? If n is one more than a multiple of 3? If n is one less than a multiple of 3?
 

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