Unformatted text preview: actual function. Consider the fourier basis e inx for n =-N, . .., + N , and the corresponding sum + N X n =-N c n e inx Calculate the values of c n by numerically approximating the integral Z + π-π f ( x ) e-inx dx , that is, by dividing the range [-π, + π ] , into small intervals and approximating the integral as a sum. Show graphs of how well f ( x ) is approximated by overlaying the series over f ( x ) for various values of N (for example, N = 5 , 10 , 20 , 50 ). 1...
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- Spring '08