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if we have a piecewise-smooth function ##f(x)## and we create a fourier series ##f_n(x)## for it, will our fourier series always have the 9% overshoot (gibbs phenomenon), and thus ##\lim_{n \rightarrow \infty} f_n(x) \neq f(x)##?

thanks!

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# Question on fourier series convergence

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