根据数列极限的定义证明:(1) lim_(n to infty) (1)/(n^2) = 0;(2) lim_(n to infty) (3n+1)/(2n+1) = (3)/(2);

根据数列极限的定义证明: (1) $\lim_{n \to \infty} \frac{1}{n^2} = 0$; (2) $\lim_{n \to \infty} \frac{3n+1}{2n+1} = \frac{3}{2}$;

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