Unformatted text preview: ( f Â· g )( x ) and ( f/g )( x ) are odd. Can you say anything in general about ( f Â± g )( x ) ? 6. Find the Fourier series for the function which is 2 Ï€periodic, with f ( x ) = x forÏ€ < x < Ï€ . By considering the series at x = Ï€/ 2 , deduce the value of the alternating sum âˆž X k =0 (1) k 2 k + 1 = 11 3 + 1 51 7 + Â·Â·Â· 7. Spreadsheet (you do not need to hand in anything for this question) Familiarize yourself with the Excel Tutorial on the website, and read through the webpage â€˜Using Excel spreadsheets to evaluate Fourier seriesâ€™....
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 Spring '08
 BEHREND
 Integrals, Fourier Series, Integers, sin sin dx

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