[1] Let f(x) be a periodic function with period 27 and has the formula 2x - {² f(x) = -T≤ x < -π/2, -π/2 ≤ x < T. (a) Find the Fourier series of f(x). (b) To what value does the above Fourier series converge at x = ? at x = -7/2? at x = π/2? at x = π?
[1] Let f(x) be a periodic function with period 27 and has the formula 2x - {² f(x) = -T≤ x < -π/2, -π/2 ≤ x < T. (a) Find the Fourier series of f(x). (b) To what value does the above Fourier series converge at x = ? at x = -7/2? at x = π/2? at x = π?
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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![[1]
Let f(x) be a periodic function with period 27 and has the formula
-T≤ x < -π/2,
-π/2 ≤ x < π.
f(x) =
2x
TT
(a) Find the Fourier series of f(x).
(b) To what value does the above Fourier series converge at x = ? at x = -7/2? at x = π/2?
at x = π?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb937cf80-27ae-49ac-9f59-e3b161b6c5a5%2Fc464e78d-3c48-4e53-bc43-a2591a55688d%2F6puctzm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[1]
Let f(x) be a periodic function with period 27 and has the formula
-T≤ x < -π/2,
-π/2 ≤ x < π.
f(x) =
2x
TT
(a) Find the Fourier series of f(x).
(b) To what value does the above Fourier series converge at x = ? at x = -7/2? at x = π/2?
at x = π?
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