Ononot — For each positive integer n \in \mathbb{N}^+, let An be the

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Set Theorymedium

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For each positive integer $n \in \mathbb{N}^+$ , let $A_n$ be the interval of real numbers defined as $A_n = \left( \frac{1}{n}, 3 + \frac{1}{n} \right]$ . Determine the intersection of this infinite family of sets, $\bigcap_{n=1}^{\infty} A_n$ .