AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{\sqrt{1+x \sin x}-\sqrt{\cos x}}{\tan ^2 2 x}=\)
- A 3
- B \(\frac{3}{2}\)
- C \(\frac{3}{4}\)
- D \(\frac{3}{16}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{16}\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} \frac{\sqrt{1+x \sin x}-\sqrt{\cos x}}{\tan ^2 2 x}\left(\frac{0}{0}\right.\) form \()\) On rationalising…
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