\(\lim _{x \rightarrow \infty} \frac{\left(2 x^{2}-3 x+5\right)(3 x-1)^{\frac{x}{2}}}{\left(3 x^{2}+5 x+4\right) \sqrt{(3 x+2)^{x}}}\) is equal to:
1
\(\frac{2}{\sqrt{3 \mathrm{e}}}\)
2
\(\frac{2 \mathrm{e}}{\sqrt{3}}\)
3
\(\frac{2 \mathrm{e}}{3}\)
4
\(\frac{2}{3 \sqrt{\mathrm{e}}}\)