Question Number 114782 by Khalmohmmad last updated on 21/Sep/20
$$\mathrm{0}^{\mathrm{0}} =? \\ $$
Commented by Dwaipayan Shikari last updated on 21/Sep/20
$${Undefined} \\ $$
Commented by Dwaipayan Shikari last updated on 21/Sep/20
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}{x}^{{x}} ={y} \\ $$$${xlogx}={logy} \\ $$$${x}\left({x}−\mathrm{1}\right)\frac{{log}\left(\mathrm{1}+{x}−\mathrm{1}\right)}{\left({x}−\mathrm{1}\right)}={logy} \\ $$$${x}\left({x}−\mathrm{1}\right)={logy} \\ $$$${y}={e}^{\mathrm{0}} =\mathrm{1} \\ $$