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Question Number 129723 by Adel last updated on 18/Jan/21

$$\underset{x\to 100}{\lim }\left[({\mathrm{x}}^{100}-{100}^{\mathrm{x}})\frac{1}{100-\mathrm{x}}\right]=?$$$$\mathcal{DANISH}$$

Answered by bramlexs22 last updated on 18/Jan/21

$$\underset{x\to 100}{\lim }\frac{{100\mathrm{x}}^{99}-{100}^{\mathrm{x}}\ln \left(100\right)}{-1}$$$$={100}^{\mathrm{x}}\ln \left(100\right)-{100\mathrm{x}}^{99}$$

Commented by Adel last updated on 18/Jan/21

$$\mathrm{with}\mathrm{out}\mathrm{the}\mathrm{Hoopetal}\mathrm{Role}$$

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