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Unformatted text preview: terms of the series as well as f(x) vs x for for L = 1 Remarks 1. Note that with each increasing term, the series becomes a better approximation. 2. If we take the frst N terms of the series, the absolute value of the (N +1) st term is a rough estimate of the error. Note this term is always smaller than 48L 4 /(N+1) 4 π 4 which decays very rapidly as N gets large....
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This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.
 Fall '08
 Edwards,D
 Differential Equations, Algebra, Equations, Fourier Series

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