Yes, that's correct

Calculus Level pending

The necessary and sufficient condition for the existence of Fourier series of a function \(f(x)\) is the Drichlet conditions, which says that, Fourier series of a function \(f(x)\) can exist only when:

  1. \(f(x)\) must be absolutely integrable over a period.
  2. \(f(x)\) must have a finite number of extrema in any given bounded interval, i.e. there must be a finite number of maxima and minima in the interval.
  3. \(f(x)\) must have a finite number of discontinuities in any given bounded interval, however the discontinuity cannot be infinite.

Which of the above statements is/are true?

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