Question Number 212554 by MrGaster last updated on 17/Oct/24
![lim_(x→∞) x^2 [e^((1+(1/x))^x ) −(1+(1/x))^(ex) ]=?](https://www.tinkutara.com/question/Q212554.png)
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}{x}^{\mathrm{2}} \left[{e}^{\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{x}} } −\left(\mathrm{1}+\frac{\mathrm{1}}{{x}}\right)^{{ex}} \right]=? \\ $$