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y=tanx cannot be expressed as a Fourier series, since it has infinite number of infinite discontinuity.

Dirichlet’s condition or the sufficient condition for a function f(x) to be expressed as a Fourier series.

- f(x) is single valued, finite and periodic.

- f(x) has a finite number of finite discontinuities.

  • f(x) has a finite number of maxima and minima.

- f(x) has no infinite discontinuity.

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Khairun Najwa

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3y ago

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