A3: You are given that the Fourier series expansion of f(x) = x², x € (-7, 7) with period 27 is (-1)" cos(nx). Use this to evaluate 1. 1 b) 1++ 1 1 a) 1++; 9. 16

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Chapter2: Second-order Linear Odes
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A3: You are given that the Fourier series expansion of f(x) = x², x € (-7,71) with
period 27 is
(-1)"
+4E
3
cos(nx).
n=1
Use this to evaluate
1
1
1
a) 1++
4
b) 1+
24
1
+....
44
16
34
119
Transcribed Image Text:A3: You are given that the Fourier series expansion of f(x) = x², x € (-7,71) with period 27 is (-1)" +4E 3 cos(nx). n=1 Use this to evaluate 1 1 1 a) 1++ 4 b) 1+ 24 1 +.... 44 16 34 119
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