JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumLimit, Continuity and Differentiability420× since 2002limx→∞(2x2−3x+5)(3x−1)2x(3x2+5x+4)(3x+2)2\lim_{x \to \infty} \frac{(2x^2 - 3x + 5)(3x - 1)^{\frac{2}{x}}}{(3x^2 + 5x + 4) \sqrt{(3x + 2)^2}}limx→∞(3x2+5x+4)(3x+2)2(2x2−3x+5)(3x−1)x2 is equal to:AOption A. 23x\frac{2}{\sqrt{3x}}3x2BOption B. 2e3\frac{2e}{\sqrt{3}}32eCOption C. 23e\frac{2}{3\sqrt{e}}3e2DOption D. 2e3\frac{2e}{3}32eCheckStep-by-step hintSkip · show solution