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Question Number 120312 by mnjuly1970 last updated on 30/Oct/20

$$...\mathrm{♣}nicecalculus\mathrm{♣}...$$$$provethat::$$$$$$$${lim}_{n\to \mathrm{\infty }}\frac{\sqrt[n^2]{n\mathrm{\$}}}{\sqrt{n}}?\stackrel{???}{=}{e}^{\frac{-3}{4}}$$$$where::n\mathrm{\$}\stackrel{superfactorial}{=}n!.(n-1)!.(n-2)!...3!.2!.1!$$$$...\mathrm{♠}m.n.1970\mathrm{♠}...$$

Answered by mathmax by abdo last updated on 30/Oct/20

$$\mathrm{you}\mathrm{are}\mathrm{a}\mathrm{super}\mathrm{man}....$$

Commented by mnjuly1970 last updated on 31/Oct/20

$$gratefulsirmax$$$$thankyouforyourfavor$$$$infact.youareveryverypowerfulandexpertinmathematics.$$$$iamyourstudentmrmax.$$

Commented by mnjuly1970 last updated on 31/Oct/20

Commented by mathmax by abdo last updated on 01/Nov/20

$$\mathrm{you}\mathrm{are}\mathrm{always}\mathrm{welcome}..\mathrm{thanks}$$

Commented by mnjuly1970 last updated on 01/Nov/20

$$sicerelyyours$$$$m.n.july.1970$$

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