25: Using a suitable Fourier- Series expansion for 0 S x ST: A) Show that: x(n -x) (cos 2x cos 4x . 22 cos 6x %3D 6. 12 32 From (A), prove that: S0 (-1)n+1 un=1 !!

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Q5: Using a suitable Fourier - Series expansion for 0 S x ST:
(cos 2x
cos 4x
A) Show that: x(n- x)
6.
cos 6x
...
12
22
32
500 (-1)n+1
n?
From (A), prove that:
%3D
12
Transcribed Image Text:Q5: Using a suitable Fourier - Series expansion for 0 S x ST: (cos 2x cos 4x A) Show that: x(n- x) 6. cos 6x ... 12 22 32 500 (-1)n+1 n? From (A), prove that: %3D 12
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