[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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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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?
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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