Question Number 79010 by jagoll last updated on 22/Jan/20
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{3x}\:\mathrm{ln}\left(\mathrm{x}\right)\:? \\ $$
Answered by jagoll last updated on 22/Jan/20
Commented by jagoll last updated on 22/Jan/20
$$\mathrm{my}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{correct}? \\ $$
Commented by mr W last updated on 22/Jan/20
$${correct}. \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{{x}} =\mathrm{1} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{3}{x}\mathrm{ln}\:{x}=\mathrm{3}\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}ln}\:\left({x}^{{x}} \right)=\mathrm{3ln}\:\mathrm{1}=\mathrm{0} \\ $$
Commented by jagoll last updated on 22/Jan/20
$$\mathrm{thanks}\:\mathrm{sir} \\ $$