6. let (Sa) C Cla, b). Suppose there exsits a function g € Lla, b) with fa(#) S g(x) a.e. for each n. Show that if lim f.(x) f(2) a.e. and h(z) is a bounded measurable function then lim

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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6. let (S.) cCla, b). Suppose there exsits a function ge Cla, b) with fa(a) S g(x) a.e. for each n. Show
that if
lim f.(z) = f(1) a.e.
and h(z) is a bounded measurable function then
lim
fuh =
fh
Transcribed Image Text:6. let (S.) cCla, b). Suppose there exsits a function ge Cla, b) with fa(a) S g(x) a.e. for each n. Show that if lim f.(z) = f(1) a.e. and h(z) is a bounded measurable function then lim fuh = fh
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