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Question

Signals and Systems Question on Fourier Series

Given below are two statements:
Statement-I Fourier series of any periodic signal x(t) can only be obtained if x(t) is absolutely integrable over any period.
Statement-II : Fourier series of any periodic signal x(t) can only be obtained if x(t) has a finite number of discontinuities within finite time interval of t.
In the light of the above statements, choose the correct answer from the options given below.

A

Both Statement-I and Statement-ll are true

B

Both Statement-I and Statement-ll are false

C

Statement-I is true but Statement-II is false

D

Statement-I is false but Statement-II is true

Answer

Both Statement-I and Statement-ll are true

Explanation

Solution

The Correct answer is option (A) : Both Statement-I and Statement-ll are true