GATE XE (Engineering Sciences) 2007 - Question 24

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Section: Engineering Mathematics | Marks: 2

Common Data: Let $f: \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = x^2$ for $-\pi \le x \le \pi$ and $f(x + 2\pi) = f(x)$. The sum of the absolute values of the Fourier coefficients of $f$ is

  • A. $\pi^2/6$
  • B. $\pi^2/3$
  • C. $2\pi^2/3$
  • D. $\pi^2$

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