Differential Equations, Fourier Series

Question

Questions are also available on the attachment. Function u2(x) refers to unit step function.

A) Compute the Fourier series for u2(x) on -4<=x<=4

A.1) What is the value of the Fourier series at x=2?

A.2) What is the value of the Fourier series at x=-3?

A.3) What is the value of the Fourier series at x=5?

B) Compute the Fourier Sine series for u2(x) on 0<=x<=4

B.1) What is the value of the Fourier sine series at x=2?

B.2) What is the value of the Fourier sine series at x=-3?

B.3) What is the value of the Fourier sine series at x=5?

C) Compute the Fourier Cosine series for u2(x) on 0<=x<=4

C.1) What is the value of the Fourier cosine series at x=2?

C.2) What is the value of the Fourier cosine series at x=-3?

C.3) What is the value of the Fourier cosine series at x=5?

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