The simple reason for this can be found by looking at the function g (t)=f (t)-a0 [note: g (t) is the square wave with the constant offset removed so that the average of the function is zero]. It turns out that g (t) is an odd function, and
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Convergence of Fourier series Given a Fourier series a 0 + X1 n=1 (a n cos(nx) + b n sin(nx)) (1) let its Nth partial sum be s N(x) = a 0 + XN n=1 (a n cos(nx) + b n sin(nx)): (2) According to the
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