Consider the function f(x) defined as 2-x 0Sx ...

 

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Consider the function f(x) defined as 2-x 0Sx<4 f(x) =D and f(x + 8) = f(x). x-6 45x58 a) Sketch the graph f(x) in the interval (-9, 10 ). b) Hence, find the first three nonzero terms for the Fourier series expansion of f(x). Consider the function f(x) defined as 2-x 0Sx<4 f(x) =D and f(x + 8) = f(x). x-6 45x58 a) Sketch the graph f(x) in the interval (-9, 10 ). b) Hence, find the first three nonzero terms for the Fourier series expansion of f(x).