1.
limn(12n3+13+22n3+23++n2n3+n3)=\displaystyle\lim_{n\to\infty}\left(\frac{1^2}{n^3+1^3}+\frac{2^2}{n^3+2^3}+\ldots+\frac{n^2}{n^3+n^3}\right)=