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1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series of f.

1. Consider the function f defined by f (x) =| sin x |, for - T < x < T. a) Find the Fourier series of f.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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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. By choosing a suitable value of x in the series that you have found, 1 show that Lk=14k2 – 1 2
Transcribed Image Text: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. By choosing a suitable value of x in the series that you have found, 1 show that Lk=14k2 – 1 2
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