What happens to the Fourier series representation if the period T of the function approaches infinity?

Correct option is B

When the period T of a periodic function approaches infinity, the function effectively becomes aperiodic.

• In the Fourier series, frequency components are discrete, spaced by:

​$$\Delta \omega = \frac{2\pi}{T}$$​​

• As T→∞, Δω→0

Thus, the discrete spectrum becomes continuous, and the Fourier series representation transitions into the Fourier transform.

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