Ononot — For each positive integer n \ge 1, let An be the interval of

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Set Theorymedium

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For each positive integer $n \ge 1$ , let $A_n$ be the interval of real numbers defined as $A_n = \{x \in \mathbb{R} : 3 - \frac{1}{n} \le x < 7 + \frac{2}{n}\}$ . Determine the intersection of this infinite family of sets, $\bigcap_{n=1}^{\infty} A_n$ .