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Which of the following cannot be the Fourier series expansion of a periodic signal?

x(t) = 2 cos t + 3 cos 3t
x(t) = 2 cos pt + 7 cos t
x(t) = cos t + 0.5
x(t) = 2 cos 1.5pt + sin 3.5 pt

Correct Answer: x(t) = cos t + 0.5

Explanation:

x(t) = cos t + 0.5

not satisfies the Dirichlet condition.

The integration of constant term is ∞.

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