求极限lim_(ntoinfty)((n)/(1^2)+sqrt(1)+n^(2)+(n)/(2^2)+sqrt(2)+n^(2)+...+(n)/(n^2)+sqrt(n)+n^(2)).

(本题14分)求极限$\lim_{n\to\infty}\left(\frac{n}{1^{2}+\sqrt{1}+n^{2}}+\frac{n}{2^{2}+\sqrt{2}+n^{2}}+\cdots+\frac{n}{n^{2}+\sqrt{n}+n^{2}}\right).$

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