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Q#1 Fourier Series GATE EE 2009 MCQ +2 marks -0.66 marks

The Fourier Series coefficients, of a periodic signal x(t), expressed as are given by ; ;  ;  ; ; and for  .  Which of the following is true?

x(t) has finite energy because only finitely many coefficients are non-zero

x(t) has zero average value because it is periodic

The imaginary part of x(t) is constant

The real part of x(t) is even

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