f(x) = {5 Esin wa if 0≤x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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f(x) =
{5
Esin wa if 0≤x <p/2
if -p/2 ≤ x < 0.
(a) Assume f(x) is a function with period p = 2π/w. Find the Fourier Series.
π² x²
12
(b) Show that at the range of [-, π],
1 1 1
(c) Show that 1+ + + +... =
4 9 16
n=1
1
ㅠ?
(−1)n-1
n²
Cos nx =
Transcribed Image Text:f(x) = {5 Esin wa if 0≤x <p/2 if -p/2 ≤ x < 0. (a) Assume f(x) is a function with period p = 2π/w. Find the Fourier Series. π² x² 12 (b) Show that at the range of [-, π], 1 1 1 (c) Show that 1+ + + +... = 4 9 16 n=1 1 ㅠ? (−1)n-1 n² Cos nx =
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