Question Number 185106 by mathlove last updated on 17/Jan/23
Commented by mathlove last updated on 17/Jan/23
$${answer}\:{this}\:{problum}??? \\ $$
Commented by Frix last updated on 18/Jan/23
$$\mathrm{Obviously}:\:\mathrm{no}!!! \\ $$
Answered by Frix last updated on 18/Jan/23
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{sin}\:{x}\right)^{\mathrm{sin}\:{x}} \:=\mathrm{1} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:{x}^{{x}} \:=\mathrm{1} \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:{x}}{{x}}\:=\mathrm{1} \\ $$$$\Rightarrow\:\mathrm{answer}\:\mathrm{is}\:\mathrm{1} \\ $$