AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{(\sqrt{2})-\sqrt{1+\cos x}}{\sqrt{15+\cos 2 x}-4}=\)
- A \(-\frac{1}{\sqrt{2}}\)
- B \(\frac{1}{\sqrt{2}}\)
- C \(\sqrt{2}\)
- D \(-\sqrt{2}\)
Answer & Solution
Correct Answer
(A) \(-\frac{1}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
\( \lim _{x \rightarrow 0} \frac{(\sqrt{2})-\sqrt{1+\cos x}}{\sqrt{15+\cos 2 x}-4} \cdot \frac{(\sqrt{2})+\sqrt{1+\cos x}}{(\sqrt{2})+\sqrt{1+\cos x}} \cdot \frac{\sqrt{15+\cos 2 x}+4}{\sqrt{15+\cos 2 x}+4} \)…
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