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Q6Section I (General (compulsory))6 of 180

Set sequences — lim inf⁡\liminf/lim sup⁡\limsup of shrinking irrational sets

For n≥1n\ge1, let AnA_{n} be the set of all irrational numbers in the interval [1−1/n, 1+1/n][1-1/n,\,1+1/n]. Then which of the following is true?

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