Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Let X = N, E = P(X) and µ be the counting measure on o-algebra E. For each n e N, let
An = {n,n +1,n+ 2,....}. Then show that u( N An)
= lim µ(An).
n=1
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Transcribed Image Text:Let X = N, E = P(X) and µ be the counting measure on o-algebra E. For each n e N, let An = {n,n +1,n+ 2,....}. Then show that u( N An) = lim µ(An). n=1
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