i) Consider the function f(x) = π-x, 0
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i) Consider the function f(x) = π-X, 0 < x≤ π.
a) Extend the function in an odd manner, and sketch the Fourier Sine
series representation on x € [-3, 3π].
b) Determine the Fourier sine series of the odd extension.
c) Using the results above and Parseval's identity, show that
π²
n=1
n²
U
N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa452579-39b1-4d40-9301-36b64e7204f2%2Fe63b7451-2cc5-4cf7-a918-a383549e47a5%2Fj4r24f_processed.png&w=3840&q=75)
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