1. Find the Fourier series of f(x) = x² F(-2)? - x defined for -2 ≤ x ≤ 2 if ƒ (x + 4). What is BONUS: Truncate the series to n = 3, 5, 10. Plot the 3 series in one graph. What is F(−2) for each?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Find the Fourier series of f(x) = x²
F(-2)?
-
x defined for -2 ≤ x ≤ 2 if ƒ (x + 4). What is
BONUS: Truncate the series to n = 3, 5, 10. Plot the 3 series in one graph. What is F(−2)
for each?
Transcribed Image Text:1. Find the Fourier series of f(x) = x² F(-2)? - x defined for -2 ≤ x ≤ 2 if ƒ (x + 4). What is BONUS: Truncate the series to n = 3, 5, 10. Plot the 3 series in one graph. What is F(−2) for each?
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