Question:
A periodic function f(x) = x2 for -π < x < π is expanded in a Fourier series. Which of the following statement(s) is/are correct ?
A periodic function f(x) = x2 for -π < x < π is expanded in a Fourier series. Which of the following statement(s) is/are correct ?
Updated On: Oct 1, 2024
- Coefficients of all the sine terms are zero
- The first term in the series is \(\frac{\pi^2}{3}\)
- The second term in the series is −4cosx
- Coefficients of all the cosine terms are zero
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The Correct Option is A, B, C
Solution and Explanation
The correct option is (A) : Coefficients of all the sine terms are zero, (B) : The first term in the series is \(\frac{\pi^2}{3}\) and (C) : The second term in the series is −4cosx
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