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Jee Advanced

Limits Continuity And Differentiability

JEE Advanced 2022 Paper 2 Online

INTEGER+3 / -12022
If


\(\beta=\lim \limits_{x \to 0} \frac{e^{x^{3}}-\left(1-x^{3}\right)^{\frac{1}{3}}+\left(\left(1-x^{2}\right)^{\frac{1}{2}}-1\right) \sin x}{x \sin ^{2} x},\)



then the value of $6 \beta$ is ___________.

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