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Set Theorymedium
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For each positive integer n∈N+n \in \mathbb{N}^+n∈N+, define the open interval Sn=(−1−1n,3−2n)S_n = \left(-1 - \frac{1}{n}, 3 - \frac{2}{n}\right)Sn​=(−1−n1​,3−n2​). Determine the intersection of this family of sets, ⋂n=1∞Sn\bigcap_{n=1}^{\infty} S_n⋂n=1∞​Sn​.