JEE MAIN - Mathematics Hindi (2025 - 23rd January Evening Shift - No. 12)

$\lim _{x \rightarrow \infty} \frac{\left(2 x^2-3 x+5\right)(3 x-1)^{\frac{x}{2}}}{\left(3 x^2+5 x+4\right) \sqrt{(3 x+2)^x}}$ निम्नलिखित के बराबर है :
$\frac{2 e}{3}$
$\frac{2}{3 \sqrt{\mathrm{e}}}$
$\frac{2 \mathrm{e}}{\sqrt{3}}$
$\frac{2}{\sqrt{3 \mathrm{e}}}$

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