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. Coefficients of all the sine terms are zero
• B. The first term in the series is $\frac{\pi^2}{3}$
• C. The second term in the series is −4cosx
• D. Coefficients of all the cosine terms are zero

Answer 1

Answer: (A), (B), (C)

Coefficients of all the sine terms are zero

Answer 2

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