JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumLimit, Continuity and Differentiability420× since 2002Evaluate the limit: limx→∞tan(5x1/3)loge(1+3x2)(tan−1(3x))2(e5x4/3−1)\lim_{x \to \infty} \frac{\tan\left(5x^{1/3}\right) \log_e(1 + 3x^2)}{\left(\tan^{-1}(3\sqrt{x})\right)^2 \left(e^{5x^{4/3}} - 1\right)}limx→∞(tan−1(3x))2(e5x4/3−1)tan(5x1/3)loge(1+3x2) is equal to:AOption A. 1/15BOption B. 1COption C. 1/3DOption D. 5/3CheckStep-by-step hintSkip · show solution
