JEE Mains · Maths · STD 11 - 12. limits
The value of \(\lim _{x \rightarrow 0} 2\left(\frac{1-\cos x \sqrt{\cos 2 x} \sqrt[3]{\cos 3 x} \ldots . . \sqrt[10]{\cos 10 x}}{x^2}\right)\) is ............
- A \(56\)
- B \(55\)
- C \(57\)
- D \(60\)
Answer & Solution
Correct Answer
(B) \(55\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} 2\left(\frac{1-\left(1-\frac{x^2}{2 !}\right)\left(1-\frac{4 x^2}{2 !}\right)\left(1-\frac{9 x^2}{2 !}\right) \ldots . .\left(1-\frac{100 x^2}{2 !}\right)}{x^2}\right)\) By expansion…
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