Question Number 132226 by kaivan.ahmadi last updated on 12/Feb/21
$${li}\underset{{x}\rightarrow\mathrm{0}^{+} } {{m}}\:\:{xln}\left({sinx}\right) \\ $$
Answered by Olaf last updated on 12/Feb/21
$$\mathrm{sin}{x}\:\underset{\mathrm{0}} {\sim}\:{x} \\ $$$$\Rightarrow\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\mathrm{ln}\left(\mathrm{sin}{x}\right)\:=\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}\mathrm{ln}{x}\:=\:\mathrm{0} \\ $$