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Modern Analysis 2
Homework 05
1. Let (
X,
M
,μ
) be a measure space with
μ
(
X
)
<
∞
. Let (
f
n
)
∞
n
=1
be a
sequence of measurable realvalued functions on
X
converging pointwise to
f
. Prove that if
ε >
0 and
δ >
0 then there exist
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 Spring '11
 Robinson

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