Fourier series is series which help us to solve certain physical equations effectively
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what are the limitations of forier series over fourier transform
Yes. For example: A square wave has a Fourier series.
Fourier series is the sum of sinusoids representing the given function which has to be analysed whereas discrete fourier transform is a function which we get when summation is done.
A Fourier series is a set of harmonics at frequencies f, 2f, 3f etc. that represents a repetitive function of time that has a period of 1/f. A Fourier transform is a continuous linear function. The spectrum of a signal is the Fourier transform of its waveform. The waveform and spectrum are a Fourier transform pair.
when we have need to know the temperature in a bar about any distance we can use fourier series to know that and then we can apply sufficient temperature.