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1. /:R->R Is the 2n periodical function with a.) Calculate the Fourier series S(x) of f(x). b.) Commenton the convergence behaviour of S(x). c.) Which formula do you obtain through evaluation in point x=0? 2. a.) Prove that the Fourier series of an even function - only contains terms in cos(kx). b.) Prove that the Fourier series of an uneven function U =) only contains terms in sin(kx). 3. Calculate the Fourier series of the following function: f(x) - 0. sin(2x).

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