Construct the full Fourier series of the given function f. In each case, discuss the convergence of the series on the interval [-L,L] where f is defined, and sketch the function to which the series converges pointwise on the interval [-3L,3L]. (2x) = {2) 4 f(x) = 1, -T/2≤x≤0, 2, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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Construct the full Fourier series of the given
function f. In each case, discuss the convergence of
the series on the interval [-L,L] where f is defined,
and sketch the function to which the series
converges pointwise on the interval [-3L,3L].
4 f(x)
-{2
1, -π/2 ≤ x ≤ 0,
2, 0≤x≤T/2.
Transcribed Image Text:Construct the full Fourier series of the given function f. In each case, discuss the convergence of the series on the interval [-L,L] where f is defined, and sketch the function to which the series converges pointwise on the interval [-3L,3L]. 4 f(x) -{2 1, -π/2 ≤ x ≤ 0, 2, 0≤x≤T/2.
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