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![3.
i) Consider the function f(x) = -x, 0 < x≤T.
a) Extend the function in an odd manner, and sketch the Fourier Sine
series representation on a € [-3,3].
b) Determine the Fourier sine series of the odd extension.
c) Using the results above and Parseval's identity, show that
π²
6
=
∞
n=1
1
n²
ASNI](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2e672a1-54a8-4743-aad6-f3d1c4a0c4ab%2Ffc73ca8a-a1cb-4d3b-8ea3-e86fc99bc1af%2F8sxohyi_processed.jpeg&w=3840&q=75)
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