Let g R- → IR be a measurable function such that measure). Prove that lim √ ST n n→∞0 -n S -8 | g(x) | dx + S 1 8 | dm <∞ (here m is the Lebesgue | g(x) | dx = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Let g: R → R be a measurable function such that Sx
X
measure).
Prove that
Tim (S™ | 8(x) | dx +
n→∞0
n
-∞
18 | dm < (here m is the Lebesgue
| g(x) | dx = 0.
Transcribed Image Text:Let g: R → R be a measurable function such that Sx X measure). Prove that Tim (S™ | 8(x) | dx + n→∞0 n -∞ 18 | dm < (here m is the Lebesgue | g(x) | dx = 0.
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