a) Find the Fourier series of the function f defined by f(x) = 1 if −π < x < 0, f(x) = 0 if 0 < x < π.and f has period 2π. What does the Fourier series converge to at x = 0?
a) Find the Fourier series of the function f defined by f(x) = 1 if −π < x < 0, f(x) = 0 if 0 < x < π.and f has period 2π. What does the Fourier series converge to at x = 0?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
a) Find the Fourier series of the function f defined by
f(x) = 1 if −π < x < 0,
f(x) = 0 if 0 < x < π.and f has period 2π. What does the Fourier series converge to at x = 0?
b) What is the Fourier series of the function f of period 2π defined by
f(x) = 1 if −π < x< 0,
f(x) = 3 if 0 < x< π,
What does the series converge to when x = 0?
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