JEE Advance - Mathematics Hindi (2022 - Paper 2 Online - No. 5)

यदि $$\beta=\lim _{x \rightarrow 0} \frac{e^{x^{3}}-\left(1-x^{3}\right)^{\frac{1}{3}}+\left(\left(1-x^{2}\right)^{\frac{1}{2}}-1\right) \sin x}{x \sin ^{2} x}$$, तब $$6 \beta$$ का मान ज्ञात कीजिए।
Answer
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