Question Number 153517 by liberty last updated on 08/Sep/21

$$\:\:{L}=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\frac{\sqrt{\mathrm{2019}{x}−\mathrm{2018}}−\mathrm{1}}{\:\sqrt[{\mathrm{2018}}]{{x}^{\mathrm{2019}} }−\mathrm{1}} \\ $$$$\:{then}\:\mathrm{2}×{L}\:=? \\ $$
Commented by MJS_new last updated on 08/Sep/21
![just “hospitalize” it ⇒ L=1009 [sorry I don′t know how to get 2L]](https://www.tinkutara.com/question/Q153526.png)
$$\mathrm{just}\:“\mathrm{hospitalize}''\:\mathrm{it}\:\Rightarrow\:{L}=\mathrm{1009} \\ $$$$\left[\mathrm{sorry}\:\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{how}\:\mathrm{to}\:\mathrm{get}\:\mathrm{2}{L}\right] \\ $$
Commented by liberty last updated on 08/Sep/21