Show that the Fourier series for f(x) in the interval − < x < π is: -
Related questions
Question
Transcribed Image Text:3. Let f(x) be a function with period 27 such that f(x) = x in the interval - < x < T.
(i) Sketch a graph of f(x) in the interval -27 < x < 2π.
(ii) Show that the Fourier series for f(x) in the interval −ñ < x < π is:
1
f(x) = 2 (sin(x) = sin(2x)+sin(3x) - ...)
2
(Hint: you may need to do integration by parts, consider the limits that are being us
in any integral and whether the integrand is even or odd.)
(iii) By assigning an appropriate value for x, show that
ㅠ
4
1-
1 1
3
5
1
7
+
1
9
...
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 images
