JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim \limits_{{x \rightarrow 0}} \frac{x \sqrt[3]{z^2-(z-x)^2}}{\left(\sqrt[3]{8 x z-4 x^2}+\sqrt[3]{8 x z}\right)^4}

is equal to

View answer and explanation

Correct option: B

\frac{1}{2^{23 / 3} \cdot z}

Option B (1/(2^(23/3) * z)) is correct because after simplifying the expression and taking the limit, the result is 1/(2^(23/3) * z).

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