7. Answer (a) (c) for f(x) = cos(x/4), ―π

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7. Answer (a) (c) for f(x) = cos(x/4), ―π<x< . Use the Fourier coefficients to obtain
1
(-1) k
explicit values for the series
k=1
"
16k² 1
∞
Σ
k=1
16k² 1'
and Σ
k=1
1
(16k² − 1)²
Transcribed Image Text:7. Answer (a) (c) for f(x) = cos(x/4), ―π<x< . Use the Fourier coefficients to obtain 1 (-1) k explicit values for the series k=1 " 16k² 1 ∞ Σ k=1 16k² 1' and Σ k=1 1 (16k² − 1)²
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