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Set Theoryhard
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Let Ai=[0,1+1i]A_i = [0, 1 + \frac{1}{i}]Ai​=[0,1+i1​] for i∈Ni \in \mathbb{N}i∈N. What is ⋂i=1∞Ai\bigcap_{i=1}^{\infty} A_i⋂i=1∞​Ai​?