Problem 1 (10 marks) For the function show that the Fourier series is given by f (x) = 2 [ {(-1)" sin nx} n n=1 Problem

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Problem 1 10 Marks For The Function Show That The Fourier Series Is Given By F X 2 1 Sin Nx N N 1 Problem 1 (57.05 KiB) Viewed 31 times

Problem 1 (10 marks) For the function show that the Fourier series is given by f (x) = 2 [ {(-1)" sin nx} n n=1 Problem 2 (10 marks) For the function f(x) = e-x on [0,2) show that the Fourier series is given by ∞ 1 f(x) -1-2-² + + (1 - e²²) Σn ²π²³² + 1 = 2 n=1 f(x) = x on (-π, π] (сos nлx + nл sin nлx)