Ononot — Consider the series \sum{n=1}^{\infty} \frac{1}{n^2}. If we

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Infinite Serieseasy

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Consider the series $\sum_{n=1}^{\infty} \frac{1}{n^2}$ . If we compare it to the integral $\int_{1}^{\infty} \frac{1}{x^2} \,dx$ , which result correctly describes the relationship regarding the convergence of the series?