Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1 Then the quadratic norm of f equals (A) T (B) 2 (C) √ (D) √2T

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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5 Let f: R R be a continuous 27-periodic function whose Fourier series is
+∞
1
1
cos(nx).
√3n
Then the quadratic norm of f equals
(A) T
(B) 2T
(C) √
(D) √2T
12
+
n=1
Transcribed Image Text:5 Let f: R R be a continuous 27-periodic function whose Fourier series is +∞ 1 1 cos(nx). √3n Then the quadratic norm of f equals (A) T (B) 2T (C) √ (D) √2T 12 + n=1
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