We have seen earlier that many functions can be expressed in the form of infinite series. Problems involving various forms of oscillations are common in fields of modern technology and Fourier series, with which we shall now be concerned, enable us to represent a periodic function as an infinite trigonometrical series in sine and cosine terms. One important advantage of Fourier series is that it can represent a function containing discontinuities, whereas Maclaurin’s and Taylor’s series require the function to be continuous throughout.
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