CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

lim⁡x→2((x3−4xx3−8)−1−(x+2xx−2−2x−2)−1)\lim_{x \rightarrow 2}\left(\left(\frac{x^3 - 4x}{x^3 - 8}\right)^{-1} - \left(\frac{x + \sqrt{2x}}{x - 2} - \frac{\sqrt{2}}{\sqrt{x} - \sqrt{2}}\right)^{-1}\right) is equal to (a) 1/21/2 (b) 2 (c) 1 (d) none of these

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