4. The graph below shows 3 complete cycles of a periodic function f(x). 2. 4 6....

 

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4. The graph below shows 3 complete cycles of a periodic function f(x). 2. 4 6. 10 12 (a) What is the period of f(x)? (b) Determine the function f(x) representing the first cycle. (c) Find the complex Fourier series of f(x) and show that it is given by [1] [2] [8] Σ 2 when n is odd f(x) = 1 when n is even inn n=-00 4. The graph below shows 3 complete cycles of a periodic function f(x). 2. 4 6. 10 12 (a) What is the period of f(x)? (b) Determine the function f(x) representing the first cycle. (c) Find the complex Fourier series of f(x) and show that it is given by [1] [2] [8] Σ 2 when n is odd f(x) = 1 when n is even inn n=-00