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Question Number 180414 by Mastermind last updated on 12/Nov/22

$$\mathrm{li}\underset{\mathrm{x}\to 3}{\mathrm{m}}\left(\frac{3^{\mathrm{x}}-{\mathrm{x}}^3}{{\mathrm{x}}^{\mathrm{x}}-3^3}\right)$$$$$$$$\mathrm{find}\mathrm{the}\mathrm{limit}\mathrm{above}$$

Answered by Frix last updated on 12/Nov/22

$$\mathrm{again}{\mathrm{l}}^{\prime }\mathrm{H}\widehat{\mathrm{o}pital}$$$$=\underset{x\to 3}{\lim }\frac{3^x\ln 3-3x^2}{x^x(1+\ln x)}=\frac{\ln 3-1}{\ln 3+1}$$

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