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Kindly solve it asap please
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
Transcribed Image Text: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
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