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[tex]\sum_{n=1}^{\infty}(-1)^{n+1}\frac{\cos{nx}}{n^2} = \frac{\pi^2-3x^2}{12} \quad , \quad x \in [-\pi,\pi].[/tex]

I have tried writing the right-side expression as a Fourier series, but it leads nowhere. What should I do?

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# Fourier series problem (again)

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