6 Consider the function f : R R with period 2π such that π+x if - < x < 0, f(x) = sin x if 0≤ x ≤π, and consider its Fourier series Sf(x). Then (A) S(0)=0 (B) S,(0) = π (C) S,(0) =π/2 (D) S, is not convergent in x = 0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The correct answer is C Could you show me why
6 Consider the function f : R R with period 2π such that
π+x if - < x < 0,
f(x) =
sin x if 0≤ x ≤π,
and consider its Fourier series Sf(x). Then
(A) S(0)=0
(B) S,(0) = π
(C) S,(0) =π/2
(D) S, is not convergent in x = 0
Transcribed Image Text:6 Consider the function f : R R with period 2π such that π+x if - < x < 0, f(x) = sin x if 0≤ x ≤π, and consider its Fourier series Sf(x). Then (A) S(0)=0 (B) S,(0) = π (C) S,(0) =π/2 (D) S, is not convergent in x = 0
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