AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{\sqrt{11+|x|-6 \sqrt{2+|x|}}}{6-2 \sqrt{2+|x|}}=\)
- A \(-1\)
- B \(-\frac{1}{2}\)
- C \(\frac{\sqrt{11-6 \sqrt{2}}}{3-\sqrt{2}}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow 0} \frac{\sqrt{11+|x|-6 \sqrt{2+|x|}}}{6-2 \sqrt{2+|x|}}\) \(=\lim _{x \rightarrow 0} \frac{\sqrt{3^2+(\sqrt{2+|x|})^2-6 \sqrt{2+|x|}}}{6-2 \sqrt{2+|x|}}\)…
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