a) Given the periodic function g(x) = x, b) Given the following function f(x)= π 1<

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a) Given the periodic function g(x) = x, b) Given the following function f(x)= π 1< <x< g(x) = g(x+n). (i) Determine whether g(x) is even, odd or neither. (ii) Obtain the Fourier Series expansion for g(x). e¹, 0≤x≤ 2, (2 marks) (5 marks) f(x) = f(x+4). Sketch the graph of even periodic extension of f(x) over −4 ≤ x ≤ 4. Hence, find the Fourier Cosine Series expansion for f(x). (8 marks)