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Set Theoryhard
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Consider the countably infinite sets A1={1}A_1 = \{1\}A1​={1}, A2={2}A_2 = \{2\}A2​={2}, A3={3}A_3 = \{3\}A3​={3}, ... such that An={n}A_n = \{n\}An​={n} for all positive integers nnn. What is ⋃n=1∞An\bigcup_{n=1}^{\infty} A_n⋃n=1∞​An​?