Limits | JEE Main 2025 | Evaluate Limit of Exponential Form

JEE MAIN 2025

23-01-2025 SHIFT-2

Question

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

Select the correct option:

$\frac{2}{\sqrt{3 e}}$

$\frac{2}{3 \sqrt{\mathrm{e}}}$

$\frac{2 e}{3}$

$\frac{2 e}{\sqrt{3}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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