What is the complex Fourier series of the function f(t) = cos t? Hint: if you're confident, you can do this without integrating anything. 1 it e 2n(-1)" eint 2 n2 - 1 n=-00, n±1 2n(-1)" int Σ 1+- n2. n- - 1 n=-00, n+0 s 2n(-1)"+1 int et +e "+ n2 -1 n=- 00, n±±1 it None of these. 11T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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What is the complex Fourier series of the function f(t)
Cos t?
Hint: if you're confident, you can do this without integrating anything.
2n(-1)" cint
n2 – 1
1
1
2
it
e" +
it
+.
7T
n=-00, n-+1
| 2n(-1)"
ent
n? – 1
1+
n=-00, n 0
2n(-1)"-1
int
et +e "+
n2 - 1
n= x,n=+T
it
O None of these.
1|ド
Transcribed Image Text:What is the complex Fourier series of the function f(t) Cos t? Hint: if you're confident, you can do this without integrating anything. 2n(-1)" cint n2 – 1 1 1 2 it e" + it +. 7T n=-00, n-+1 | 2n(-1)" ent n? – 1 1+ n=-00, n 0 2n(-1)"-1 int et +e "+ n2 - 1 n= x,n=+T it O None of these. 1|ド
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