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Question Number 160508 by qaz last updated on 30/Nov/21

$$\mathrm{f}\left(\mathrm{x}\right)={27\mathrm{x}}^3+{5\mathrm{x}}^2-2$$$$\underset{\mathrm{x}\to \mathrm{\infty }}{\lim }\frac{{\mathrm{f}}^{-1}\left(27\mathrm{x}\right)-{\mathrm{f}}^{-1}\left(\mathrm{x}\right)}{\sqrt[3]{\mathrm{x}}}=?$$

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