Question: Let the sample space for an experiment be the set of positive integers, and consider the sequence of events {An}n1 defined in it, where An

Let the sample space for an experiment be the set of positive integers, and consider the sequence of events {An}n≥1 defined in it, where An is given by

Show that {An}n≥1 is a monotone sequence and find its limit as n → ∞.

A = {n,n+1,n+2,...), for n = 1, 2,....

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