## Question

###### Periodic function of period is defined by2 < x < 0 0 < x < 2f(x) = {3Sketch the function and obtain its Fourier series.(10 marks)QUESTION ON NEXT PAGE6 (a) Determine the Fourier series for the function f (x) = x2 in the range T<x < T The function has period ZT. marks)Bv lettingT; use your answer tO pant (a) to show that=T2/6(4 marks)

periodic function of period is defined by 2 < x < 0 0 < x < 2 f(x) = {3 Sketch the function and obtain its Fourier series. (10 marks) QUESTION ON NEXT PAGE 6 (a) Determine the Fourier series for the function f (x) = x2 in the range T<x < T The function has period ZT. marks) Bv letting T; use your answer tO pant (a) to show that =T2/6 (4 marks)

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