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L-lim-n-n-n-2-n-3-n-4-n-n-1-n-2-n-3-n-4-n-n-n-




Question Number 144395 by SOMEDAVONG last updated on 25/Jun/21
L=lim_(nā†’+āˆ) ((n+n^2 +n^3 +n^4 +...+n^n )/(1^n +2^n +3^n +4^n +...+n^n )) =?
$$\mathrm{L}=\underset{\mathrm{n}\rightarrow+\propto} {\mathrm{lim}}\frac{\mathrm{n}+\mathrm{n}^{\mathrm{2}} +\mathrm{n}^{\mathrm{3}} +\mathrm{n}^{\mathrm{4}} +…+\mathrm{n}^{\mathrm{n}} }{\mathrm{1}^{\mathrm{n}} +\mathrm{2}^{\mathrm{n}} +\mathrm{3}^{\mathrm{n}} +\mathrm{4}^{\mathrm{n}} +…+\mathrm{n}^{\mathrm{n}} }\:=? \\ $$

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