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lim-x-6e-x-2-20ln-x-6e-x-2-20ln-x-3-3e-2x-2-sin-6k-e-x-2-26-k-




Question Number 157389 by cortano last updated on 22/Oct/21
 lim_(x→∞) (((6e^x^2  −20ln ∣x∣)/(6e^x^2  −20ln ∣x∣+3)))^(3e^(2x^2 )  sin (((6k)/e^x^2  ))) =26   k=?
$$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{6}{e}^{{x}^{\mathrm{2}} } −\mathrm{20ln}\:\mid{x}\mid}{\mathrm{6}{e}^{{x}^{\mathrm{2}} } −\mathrm{20ln}\:\mid{x}\mid+\mathrm{3}}\right)^{\mathrm{3}{e}^{\mathrm{2}{x}^{\mathrm{2}} } \:\mathrm{sin}\:\left(\frac{\mathrm{6}{k}}{{e}^{{x}^{\mathrm{2}} } }\right)} =\mathrm{26} \\ $$$$\:{k}=? \\ $$$$ \\ $$

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