\( \lim _{n \rightarrow \infty} \frac{1^{2} \cdot n+2^{2}(n-1)+3^{2}(n-2)+\ldots+n^{2} \cdot 1}{...

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\( \lim _{n \rightarrow \infty} \frac{1^{2} \cdot n+2^{2}(n-1)+3^{2}(n-2)+\ldots+n^{2} \cdot 1}{1^{3}+2^{3}+3^{3}+\ldots n^{3}} \)
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