If , then the value of…

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

Problem

If lim⁡x→01−cos⁡2xcos⁡3x3cos⁡4x4⋯cos⁡nxnx2=10\lim_{x\to0}\dfrac{1-\sqrt{\cos2x}\sqrt[3]{\cos3x}\sqrt[4]{\cos4x}\cdots\sqrt[n]{\cos nx}}{x^2}=10, then the value of nn is (1) 6 (2) 7 (3) 8 (4) 9

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