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MAKE A MEME View Large Image $XCubed Fourier Series Approximation n=7,15.svg This is a graph of x<sup>3</sup> periodic on - with the Fourier Series Approximations drawn in at k 7 red and k 15 blue The approximation is given by <math>f\left x \right \approx \sum\limits_ ...$

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Keywords: XCubed Fourier Series Approximation n=7,15.svg This is a graph of x<sup>3</sup> periodic on - with the Fourier Series Approximations drawn in at k 7 red and k 15 blue The approximation is given by <math>f\left x \right \approx \sum\limits_ n 1 k - 2\left - 1 \right n \left \pi 2 n 2 - 6 \right \over n 3 \sin \left nx \right </math> This is the counterpart to this which has just the original function drawn in Own Drawing Plotted in Mathematica edited in Inkscape 2008-02-22 Inductiveload image XCubed Periodic -pi pi svg Mathematica Code <pre><nowiki> fx_ x 3; ffourx_ k_ Hold Sum -2 -1 n Pi 2 n 2 - 6 / n 3 Sinn x n 1 k ; Plot fModx 2 \Pi -\Pi ReleaseHoldffourx 7 ReleaseHoldffourx 15 x -2 Pi 2 Pi </nowiki></pre> Fourier series