Consider the following function: -- 2, -2 < r <-1 f(x) = {1, 2-z, 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 4CGP
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4. Consider the following function:
-r- 2, -2 <I<-1
f(r) = {1,
-1<r<1
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
and E
(2k – 1)²
(2k – 1)
8
96
k=1
Transcribed Image Text:4. Consider the following function: -r- 2, -2 <I<-1 f(r) = {1, -1<r<1 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 and E (2k – 1)² (2k – 1) 8 96 k=1
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