1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series of f. b) Sketch the graph of the function to which the series converges point- wise on R. Use the pointwise convergence theorem to justify your answer. c) By choosing a suitable value of x in the series that you have found, show that Ek=14k2 – 1 1 || 2° |
1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series of f. b) Sketch the graph of the function to which the series converges point- wise on R. Use the pointwise convergence theorem to justify your answer. c) By choosing a suitable value of x in the series that you have found, show that Ek=14k2 – 1 1 || 2° |
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 74E
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