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\(\lim_{x \to 2} \frac{2 - \sqrt{2 + x}}{2^{1/3} - (4 - x)^{1/3}}\) is equal to

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For roots, use expansion: \((1+h)^n \approx 1+nh\) for small \(h\).

Updated On: Apr 16, 2026

\(2\cdot 3^{-1/2}\)
\(3\cdot 2^{-4/3}\)
\(-3\cdot 2^{-4/3}\)
None of these

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The Correct Option is C

Solution and Explanation

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\(\lim_{x \to 2} \frac{2 - \sqrt{2 + x}}{2^{1/3} - (4 - x)^{1/3}}\) is equal to

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The Correct Option is C

Solution and Explanation

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