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1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and lim ||gn - = 0 and lim ||gn - 9||₁²(1) = 0 n→∞0

1. Let lim ||fn - f|| ₁² (1) = 0 n-00 Where I = [0,1]. Show that: lim | fn9ndμ = √fgdµ n-00 I and lim ||gn - = 0 and lim ||gn - 9||₁²(1) = 0 n→∞0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 35RE
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1. Let lim||fn-f||₁²(1) = 0 and lim||9n-9||1,²(1) = 0 Where I = [0,1]. Show that: lim | fn9ndu = |fgdμ n-00
Transcribed Image Text:1. Let lim||fn-f||₁²(1) = 0 and lim||9n-9||1,²(1) = 0 Where I = [0,1]. Show that: lim | fn9ndu = |fgdμ n-00
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