lim _(n arrow infty) n((1)/(1+n^2)+(1)/(2^2)+n^(2)+...+(1)/(n^2)+n^(2))= _____.

$\lim _{n \rightarrow \infty} n\left(\frac{1}{1+n^{2}}+\frac{1}{2^{2}+n^{2}}+\cdots+\frac{1}{n^{2}+n^{2}}\right)=$ _____.

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