$\lim_{x\rightarrow 0} \frac{x\left(e^{\left(\sqrt{1+x^2+x^4}-1\right)/x}-1\right)}{\sqrt{1+x^2+x^4}-1}$ (1) is equal to $\sqrt{e}$ (2) is equal to 1 (3) is equal to 0 (4) does not exist
$\lim_{x\rightarrow 0} \frac{x\left(e^{\left(\sqrt{1+x^2+x^4}-1\right)/x}-1\right)}{\sqrt{1+x^2+x^4}-1}$\\
(1) is equal to $\sqrt{e}$\\
(2) is equal to 1\\
(3) is equal to 0\\
(4) does not exist