10. (a) Find the Fourier Series S(x) of f(x) = cos(x/2), -
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please show a step-by-step solution. Do not skip steps, and explain your steps. Write it on paper, preferably. Make sure the work is clear.
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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