Exercises 2 Let f(æ) be a function of period 27 such that f(1) = {" *- a, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 55E
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
Transcribed Image Text:Exercises 2
Let f(x) be a function of period 27 such that
12) - {*
T - x, 0<r < T
f (x):
0,
T <r < 2n
a) Sketch a graph of f(r) in the interval -2n <I< 2n
b) Show that the Fourier series for f(r) in the interval 0 <r < 2r is
1
cos 3.x +
32
1
cos 5x +...
52
1
1
1
+ sin a + sin 2a + sin 3x+
4
sin 4r +...
2
3
c) By giving an appropriate value to r, show that
1
=1+
32
1
+...
52
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