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 ___________.
\(\beta=\lim \limits_{x \to 0} \frac{e^{x^{3}}-\left(1-x^{3}\right)^{\frac{1}{3}}+\left(\left(1-x^{2}\right)^{\frac{1}{2}}-1\right) \sin x}{x \sin ^{2} x},\)
then the value of $6 \beta$ is ___________.
