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Question Number 104890 by Ar Brandon last updated on 24/Jul/20

$$\underset{\mathrm{n}\to \mathrm{\infty }}{\lim }\frac{1}{\mathrm{n}}\underset{\mathrm{k}=1}{\sum ^{\mathrm{n}}}{[1+\frac{{\mathrm{k}}^3}{{\mathrm{n}}^3}]}^{-\frac{1}{2}}$$

Answered by abdomathmax last updated on 24/Jul/20

$$={\int }_0^1\frac{\mathrm{dx}}{\sqrt{1+{\mathrm{x}}^3}}\mathrm{but}\mathrm{tbis}\mathrm{integral}\mathrm{is}\mathrm{elliptic}...!$$

Commented by Ar Brandon last updated on 24/Jul/20

So, no solution, Sir ? ��

Commented by mathmax by abdo last updated on 24/Jul/20

$$\mathrm{perhaps}\mathrm{we}\mathrm{can}\mathrm{find}\mathrm{a}\mathrm{way}...$$

Commented by Ar Brandon last updated on 24/Jul/20

Alright, cool

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