3.4Relationship to Least Squares3.5Convergence3.6Fourier Cosine and Sine SeriesProblems1. For each of the following functionsi. Sketchf(x)ii. Sketch the Fourier series off(x)iii. Sketch the Fourier sine series off(x)iv. Sketch the Fourier cosine series off(x)a.f(x)=xx<01+xx>0b.f(xexc.f(x)=1+x2d.f(x12x+1−2<x<0x022. Sketch the Fourier sine series off(x)=cosπLx.Roughly sketch the sum of the ±rst three terms of the Fourier sine series.3. Sketch the Fourier cosine series and evaluate its coeﬃcients forf(x
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.