Let f: [-, R be such that Consider its Fourier series and f() = f(-)...

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Let f: [-, → R be such that Consider its Fourier series and f(π) = f(-π) and 00 1 zao +(an cos(nx) + b₂ sin(nx)) n=1 with Fourier coefficients do, a1,... and b₁,b2,... given by Show that 1 A₂ = - 7 b₁ = 1 71 f(x) cos(nx) dx -TL f(x) sin(nx) dx -TL E L |f(x)/² dx Let f: [-, → R be such that Consider its Fourier series and f(π) = f(-π) and 00 1 zao +(an cos(nx) + b₂ sin(nx)) n=1 with Fourier coefficients do, a1,... and b₁,b2,... given by Show that 1 A₂ = - 7 b₁ = 1 71 f(x) cos(nx) dx -TL f(x) sin(nx) dx -TL E L |f(x)/² dx

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