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L-lim-x-0-2-1-sinx-1-sinx-1-tanx-1-tanx-e-x-2-




Question Number 136531 by SOMEDAVONG last updated on 23/Mar/21
L=lim_(x→0) ((2(1+sinx)^(1/(sinx)) −(1+tanx)^(1/(tanx)) −e)/x^2 )
$$\mathrm{L}=\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{2}\left(\mathrm{1}+\mathrm{sinx}\right)^{\frac{\mathrm{1}}{\mathrm{sinx}}} −\left(\mathrm{1}+\mathrm{tanx}\right)^{\frac{\mathrm{1}}{\mathrm{tanx}}} −\mathrm{e}}{\mathrm{x}^{\mathrm{2}} } \\ $$

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