Consider the function f(x) = = −1, X, 1, −2 < x < −1, −1 ≤ x < 1, 1 ≤ x < 2. (a) Sketch the graph of f. (b) Find the Fourier series of f over the interval (–2, 2).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 57E
Question
Consider the function f(x)
=
-1,
X,
1,
-2 < x < -1,
−1,
−1≤ x < 1,
1 < x < 2.
(a) Sketch the graph of f.
(b) Find the Fourier series of f over the interval (-2, 2).
Transcribed Image Text:Consider the function f(x) = -1, X, 1, -2 < x < -1, −1, −1≤ x < 1, 1 < x < 2. (a) Sketch the graph of f. (b) Find the Fourier series of f over the interval (-2, 2).
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