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Let g : R → R be a measurable function such that fx \g|dm <∞ (here m is the Lebesgue measure). Show that_lim_ (g(x)|dx + f_M|g(x)| dx)=0. n→ +∞

Let g : R → R be a measurable function such that fx \g|dm <∞ (here m is the Lebesgue measure). Show that_lim_ (g(x)|dx + f_M|g(x)| dx)=0. n→ +∞

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Let g: R → R be a measurable function such that ſx [g|dm <∞ (here m is the Lebesgue measure). Show that lim (g(x)|dx + f_"]g(x)| dx)=0. n→ +∞
Transcribed Image Text:Let g: R → R be a measurable function such that ſx [g|dm <∞ (here m is the Lebesgue measure). Show that lim (g(x)|dx + f_"]g(x)| dx)=0. n→ +∞
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