I need help with these: a) Find the Fourier series of f(x) = |x| where −L < x < L. b) What is the Fourier series of the function f of period 2L defined by f(x) = -1 if −L < x< 0, f(x) = 1 if 0 < x < L, What does the series converge to when x = 0?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 22E
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I need help with these:

a) Find the Fourier series of f(x) = |x| where −L < x < L.

b) What is the Fourier series of the function f of period 2L defined by
f(x) = -1 if −L < x< 0,
f(x) = 1 if 0 < x < L,
What does the series converge to when x = 0?

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