Question Number 130679 by LYKA last updated on 28/Jan/21
Commented by liberty last updated on 28/Jan/21
$$\:\underset{{x},\mathrm{y},\mathrm{z}\rightarrow\left(\mathrm{0},\mathrm{1},\mathrm{2}\right)} {\mathrm{lim}e}^{\mathrm{xy}} .\mathrm{cos}\:\left(\frac{\pi\left(\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} \right)}{\mathrm{3}}\right)\:?\: \\ $$
Commented by liberty last updated on 28/Jan/21
$$\underset{{x},\mathrm{y},\mathrm{z}\rightarrow\left(\mathrm{0},\mathrm{1},\mathrm{2}\right)} {\mathrm{lim}e}^{\mathrm{0}} .\mathrm{cos}\:\left(\frac{\mathrm{5}\pi}{\mathrm{3}}\right)\:=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$