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Calculate-lim-n-k-1-n-k-2-n-3-k-1-k-




Question Number 167970 by qaz last updated on 30/Mar/22
Calculate:   lim_(nā†’āˆž) Ī£_(k=1) ^n (k^2 /n^3 )āˆ™(k)^(1/k) =?
$$\mathrm{Calculate}:\:\:\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\frac{\mathrm{k}^{\mathrm{2}} }{\mathrm{n}^{\mathrm{3}} }\centerdot\sqrt[{\mathrm{k}}]{\mathrm{k}}=? \\ $$

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