1. (а) Find the Fourier series of the function 3, if - 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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1. (a)
Find the Fourier series of the function
3,
if – 2<x < 0,
f(x) = { 6,
if r = 0,
-5, if 0 <r < 2,
on the interval [-2, 2].
(b)
part (a) converges on the interval (-6, 6].
Sketch the graph of the function to which the Fourier series of f(x) from
4.
+3
1
+
-6
-5
-4
-3
-2
-1
4
6
-1
+-2
+-3
+-4
+-5
Transcribed Image Text:1. (a) Find the Fourier series of the function 3, if – 2<x < 0, f(x) = { 6, if r = 0, -5, if 0 <r < 2, on the interval [-2, 2]. (b) part (a) converges on the interval (-6, 6]. Sketch the graph of the function to which the Fourier series of f(x) from 4. +3 1 + -6 -5 -4 -3 -2 -1 4 6 -1 +-2 +-3 +-4 +-5
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