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Limits Continuity and Differentiability question

2025 · 23 Jan · Shift 2 · Q37

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 23 Jan · Shift 2 · Q37

Limits Continuity and Differentiability question

2025 · 23 Jan · Shift 2 · Q37

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\lim \limits_{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 :

A
$\frac{2 e}{3}$
B
$\frac{2}{3 \sqrt{\mathrm{e}}}$
C
$\frac{2 \mathrm{e}}{\sqrt{3}}$
D
$\frac{2}{\sqrt{3 \mathrm{e}}}$

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