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lim-n-2-n-1-n-2-1-n-n-n-2-




Question Number 160438 by qaz last updated on 29/Nov/21
lim_(nā†’āˆž) (((2(n)^(1/n) āˆ’(2)^(1/n) )^n )/n^2 )=?
$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\frac{\left(\mathrm{2}\sqrt[{\mathrm{n}}]{\mathrm{n}}āˆ’\sqrt[{\mathrm{n}}]{\mathrm{2}}\right)^{\mathrm{n}} }{\mathrm{n}^{\mathrm{2}} }=? \\ $$

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