Evaluate the following limit: lim_(x → 0⁺) (tan(5x^(1/3)) log(1 +… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 1Limits

Evaluate the following limit: $\lim_{x \to 0^+} \frac{\tan\left(5x^{\frac{1}{3}}\right) \log\left(1 + 3x^2\right)}{\left(\tan^{-1}\left(3\sqrt{x}\right)\right)^2 \left(e^{5x^{\frac{4}{3}}} - 1\right)}$

A
$\frac{1}{15}$
B
$1$
C
$\frac{1}{3}$
D
$\frac{5}{3}$

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