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calculate-lim-n-1-n-k-1-n-n-1-k-2-




Question Number 167289 by qaz last updated on 12/Mar/22
calculate ::   lim_(n→∞) (1/n)Σ_(k=1) ^n n^(1/k) =2
$$\mathrm{calculate}\:::\:\:\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{1}}{\mathrm{n}}\underset{\mathrm{k}=\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\mathrm{n}^{\frac{\mathrm{1}}{\mathrm{k}}} =\mathrm{2} \\ $$

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