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Let (X, B(R), µ) be a Borel measure space. Suppose that {An = ["±1, 4n-1]}, be a family of elements of B(R). Show that A1 C A2 C A3.. C An C ...,then evaluate u(U1[+1, in-11). n n=1 n=: п

Let (X, B(R), µ) be a Borel measure space. Suppose that {An = ["±1, 4n-1]}, be a family of elements of B(R). Show that A1 C A2 C A3.. C An C ...,then evaluate u(U1[+1, in-11). n n=1 n=: п

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let (X, B(R), µ) be a Borel measure space. Suppose that {A,, = ["+1, 4n-1]} be a family of elements of B(R). Show that A1 C A2 C A3.... C An C ...,then evaluate u(U1["1, n=1 4n- n=1 n
Transcribed Image Text:Let (X, B(R), µ) be a Borel measure space. Suppose that {A,, = ["+1, 4n-1]} be a family of elements of B(R). Show that A1 C A2 C A3.... C An C ...,then evaluate u(U1["1, n=1 4n- n=1 n
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