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Limits Continuity and Differentiability question

2022 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
Limits Continuity and Differentiability
2022 · Shift 2 · Q23

Limits Continuity and Differentiability question

2022 · Shift 2 · Q23

JEE AdvancedMathematicsLimits Continuity and DifferentiabilityNumerical+3 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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