If A = [0, 2π] and A is measurable, prove that lim cos nx dx = lim [₁ sin nx dx = 0. n-∞ JA

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 17EQ
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If A = [0, 2π] and A is measurable, prove that
lim
C
cos nx dx = lim
S
sin nx dx = 0.
Transcribed Image Text:If A = [0, 2π] and A is measurable, prove that lim C cos nx dx = lim S sin nx dx = 0.
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