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10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -

10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -<x<T. (b) Graph S(r) for −3″ < x < 3. Does S(r) represent a continuous function on R? 1 (-1) k 4n² - 1 ∞ (c) Use (a) to evaluate Σ n=1 4n² 1 ∞ and Σ n=1
Transcribed Image Text:10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -<x<T. (b) Graph S(r) for −3″ < x < 3. Does S(r) represent a continuous function on R? 1 (-1) k 4n² - 1 ∞ (c) Use (a) to evaluate Σ n=1 4n² 1 ∞ and Σ n=1
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