Question: 1.*14. In Exercise 13 let Q be the set of rational numbers in [0, 1]. For each t E (0, 1) both limits below exist

1.*14. In Exercise 13 let Q be the set of rational numbers in [0, 1]. For each t E (0, 1) both limits below exist a.e.:

limXs ,

.Itt I(:Q

[HINT: Let {Qn, n .:::: I} be finite subsets of Q such that Qn t Q; and apply the upcrossing inequality to {Xs, S E Qn}, then let n -+ 00.]

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