Let f(r) be a function of period 27 such that f(x) x in the range - T

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercises 3
Let f(x) be a function of period 27 such that
f(x)
= x in the range - T < a < T.
a) Sketch a graph of f(a) in the interval -37 <r < 3T
b) Show that the Fourier series for f(x) in the interval -T < x < T iS
1
sin 2 +
1
sin 3r -
3
2 sin r -
...
c) By giving an appropriate value to r, show that
1
=1-
3.
1
1
+..
7
4.
Transcribed Image Text:Exercises 3 Let f(x) be a function of period 27 such that f(x) = x in the range - T < a < T. a) Sketch a graph of f(a) in the interval -37 <r < 3T b) Show that the Fourier series for f(x) in the interval -T < x < T iS 1 sin 2 + 1 sin 3r - 3 2 sin r - ... c) By giving an appropriate value to r, show that 1 =1- 3. 1 1 +.. 7 4.
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