Explain Gibbs phenomenon. Calculate the overshoot percentage when approximating a discontinuous function with a finite number of terms.
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$$ b_n = \frac1\pi \int_-\pi^\pi f(x) \sin(nx) , dx $$ $$ b_n = \frac1\pi \int_-\pi^\pi x \sin(nx) , dx $$ Explain Gibbs phenomenon
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