3 Given the 4-periodic function f(x), coinciding for x = [−2, 2] with the function (x) = 1 if |x| € [0, 1] and with the function x(x) = |x| if |x| € (1,2]. The Fourier series of f: (A) is in the form 5 + 5 (B) is in the form 5 (C) is in the form ∞ IM: IM k=1 ∞ (ak cos(kx) + bk sin(kx), ak 0, bk 0 ak cos(kx), ak 0, kπx ak Cos , ak 0, k=1 (D) is not pointwise converging f(x) for every x Є R

3 Given the 4-periodic function f(x), coinciding for x = [−2, 2] with the function (x) = 1 if |x| € [0, 1] and with the function x(x) = |x| if |x| € (1,2]. The Fourier series of f: (A) is in the form 5 + 5 (B) is in the form 5 (C) is in the form ∞ IM: IM k=1 ∞ (ak cos(kx) + bk sin(kx), ak 0, bk 0 ak cos(kx), ak 0, kπx ak Cos , ak 0, k=1 (D) is not pointwise converging f(x) for every x Є R

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.5: Properties Of Logarithms

Problem 67E

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