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| Question Number 129819 by Adel last updated on 19/Jan/21 | ||
| ![lim_(x→100) [(x^(100) −100^x )(1/(x−100))]=?  whit out Hopital Rols  pleas answer](Q129819.png) | ||
| $$\underset{{x}\rightarrow\mathrm{100}} {\mathrm{lim}}\left[\left(\mathrm{x}^{\mathrm{100}} −\mathrm{100}^{\mathrm{x}} \right)\frac{\mathrm{1}}{\mathrm{x}−\mathrm{100}}\right]=? \\ $$$$\mathrm{whit}\:\mathrm{out}\:\mathrm{Hopital}\:\mathrm{Rols} \\ $$$$\mathrm{pleas}\:\mathrm{answer} \\ $$ | ||