Question Number 129819 by Adel last updated on 19/Jan/21
$$\underset{{x}\rightarrow\mathrm{100}} {\mathrm{lim}}\left[\left(\mathrm{x}^{\mathrm{100}} −\mathrm{100}^{\mathrm{x}} \right)\frac{\mathrm{1}}{\mathrm{x}−\mathrm{100}}\right]=? \\ $$$$\mathrm{whit}\:\mathrm{out}\:\mathrm{Hopital}\:\mathrm{Rols} \\ $$$$\mathrm{pleas}\:\mathrm{answer} \\ $$