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Set Theorymedium
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For each positive integer n∈N+n \in \mathbb{N}^+n∈N+, let An={x∈R:x2−1n2≤0}A_n = \left\{x \in \mathbb{R} : x^2 - \frac{1}{n^2} \le 0\right\}An​={x∈R:x2−n21​≤0}. Find the intersection of this collection of sets, ⋂n=1∞An\bigcap_{n=1}^{\infty} A_n⋂n=1∞​An​.