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Limits Continuity and Differentiability question

2025 · 7 Apr · Shift 1 · Q31

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 7 Apr · Shift 1 · Q31

Limits Continuity and Differentiability question

2025 · 7 Apr · Shift 1 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

\lim_{x \rightarrow 0^{+}} \frac{\tan \left(5(x)^{\frac{1}{3}}\right) \log _e\left(1+3 x^2\right)}{\left(\tan ^{-1} 3 \sqrt{x}\right)^2\left(e^{5(x)^{\frac{4}{3}}}-1\right)}

is equal to

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

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