: For this question we define x+n - n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A2: For this question we define
x+ T
- n<x< -n/2
-x
-7/2 <x< 7/2
f(x) =
T/2 < x<n
k
x = T
with period 27, where k is a constant.
a) What value should k take for the Fourier series of this function to converge
to f(x) for all x e R? Justify your answer. Given this value of k, sketch
f(x) over the domain -27 <x< 2n.
b) Find the trigonometric Fourier series expansion of f(x).
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