Periodic Functions Of Fourier Series
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Periodic Functions Of Fourier Series : Generally, periodic functions are the functions which returns the same value in regular interval of time . But in trigonometric functions , it returns the same value in the time interval of 2π radian . For example : The best example to describe periodic functions is sine function i.e, sin(x+2π) = sinx So as discussed before Fourier series is generated by these types of periodic functions like sine and cosine functions . Theorem Related To Periodic Function of Fourier Series : For a periodic function of period 2π , prove that β β+2π (i) ∫ f dx = ∫ f dx , α ...