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Which of the following statements is true about the series:

$$\sum_{n=1}^\infty \frac{1}{n^2}?$$

The series converges to a value less than $\int_1^\infty \cfrac{dx}{x^2}$

The series converges to a value equal to $\int_1^\infty \cfrac{dx}{x^2}$

The series converges to a value greater than $\int_1^\infty \cfrac{dx}{x^2}$

The series diverges