Let X = N, E = P(X) and µ be the counting measure on o-algebra E. For each n e N, let An = lim µ(A„). {n,n +1,n + 2,....}. Then show that µ( Ñ An) = n=1
Let X = N, E = P(X) and µ be the counting measure on o-algebra E. For each n e N, let An = lim µ(A„). {n,n +1,n + 2,....}. Then show that µ( Ñ An) = n=1
Let X = N, E = P(X) and µ be the counting measure on o-algebra E. For each n e N, let An = lim µ(A„). {n,n +1,n + 2,....}. Then show that µ( Ñ An) = n=1
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
Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.
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