Calculating the Fourier series for the function $y = 1,-\pi \leq x \leq \pi$.

Question

Calculating the Fourier series for the function $y = 1,-\pi \leq x \leq \pi$.

My answer:

I have calculated it and I got $a_{0} = 2, a_{m} = b_{m} = 0.$ so the Fourier series of 1 is 1. Am I correct?

Answer 1

Yes, your calculations are correct.