JEE Mains · Maths · STD 11 - 12. limits
If the value of \(\lim _{x \rightarrow 0}(2-\cos x \sqrt{\cos 2 x})^{\left(\frac{x+2}{x^{2}}\right)}\) is equal to \(e^{a}\), then \(a\) is equal to \(.....\)
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(3\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0}(2-\cos x \sqrt{\cos } x)^{\frac{x+2}{x^{2}}}\) form \(1^{\infty}\) \(e^{\lim _{x \rightarrow 0}}\left(\frac{1-\cos x \sqrt{\cos 2} x}{x^{2}}\right) \times(x+2)\) Now limt…
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