If lim⁡x→01−cos⁡2x⋅cos⁡3x3⋅cos⁡4x4⋯cos⁡nxnx2\lim_{x \to 0} \frac{1 - \sqrt{\cos 2x} \cdot \sqrt[3]{\cos 3x} \cdot \sqrt[4]{\cos 4x} \cdots \sqrt[n]{\cos nx}}{x^2}…

Problem

If lim⁡x→01−cos⁡2x⋅cos⁡3x3⋅cos⁡4x4⋯cos⁡nxnx2\lim_{x \to 0} \frac{1 - \sqrt{\cos 2x} \cdot \sqrt[3]{\cos 3x} \cdot \sqrt[4]{\cos 4x} \cdots \sqrt[n]{\cos nx}}{x^2} has the value equal to 10, the value of nn is a. 6 b. 7 c. 8 d. 9

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