🛠️ JEE➗ Maths

\(\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…

Q1

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

[JEE Main 2025, 7 Apr (Shift 1)]

a

\(\frac{1}{15}\)

b

\(1\)

c

\(\frac{1}{3}\)

d

\(\frac{5}{3}\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149

Practice more JEE Maths PYQs

See every question on Continuity and Differentiability, or browse the full JEE question bank.

See all questions on Continuity and Differentiability →