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When is fourier convergence theorem applicable?

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in Signals and Systems by (1.2m points)
When is fourier convergence theorem applicable?

(a) Infinite series limit

(b) Continuous function limit

(c) Discrete function limit

(d) Break point limits

I had been asked this question in quiz.

The query is from Gibb’s Phenomena, Convergence of Fourier Series in section Fourier Series of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (a) Infinite series limit

Explanation: According to fourier convergence theorem, near a point of discontinuity the fourier series approximation oscillates about the numerical value it should achieve, which is valid in an infinite series limit.

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