4. Consider the following function: -I – 2, -2< < -1 f(1) = {r, -1
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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quick plz solve both parts I'll upvote your answer
![4. Consider the following function:
I – 2, -2< I < -1
-1 < r<1
f(1) = {r,
2 – 1,
1<r<2.
(i) Sketch the graph of f and find its Fourier series on [-2, 2).
(ii) Use the obtained series to deduce that:
1
1
(2k
1)2
and
8
(2k – 1)
96
T18](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4455e4d8-f4c0-4cf5-a94d-1d08178fdcca%2F33c5a81c-5349-432f-8b35-93dba1679455%2Fn812ptc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider the following function:
I – 2, -2< I < -1
-1 < r<1
f(1) = {r,
2 – 1,
1<r<2.
(i) Sketch the graph of f and find its Fourier series on [-2, 2).
(ii) Use the obtained series to deduce that:
1
1
(2k
1)2
and
8
(2k – 1)
96
T18
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