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Unformatted text preview: ⎧ < < ≤ < ≤ < ≤ < = 1 4 3 4 3 2 1 1 2 1 4 1 4 1 1 ) ( x x x x x f Is the Fourier series convergent to f(x) for every 0<x<1 ? In the following three problems the functions are extended by periodicity outside the interval of definition. 8. ) 2 sin( xs π , for 2 1 2 1 < < − x and 1 < < s 9. ) 2 cos( xs , for 2 1 2 1 < < − x and 1 < < s 10. ixs e 2 , for 2 1 2 1 < < − x and 1 < < s Total : 10 pts (1 point each)...
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This note was uploaded on 03/21/2010 for the course MATH 464 taught by Professor Staff during the Spring '08 term at Maryland.
 Spring '08
 staff
 matlab, Fourier Series

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