AP EAMCET · Maths · Limits
\(\lim _{n \rightarrow x} \sqrt{2}\left[\frac{(2+\sqrt{2})^n+(2-\sqrt{2})^n}{(2+\sqrt{2})-(2-\sqrt{2})^n}\right]=\)
- A \(2-\sqrt{2}\)
- B \(2-\sqrt{2}\)
- C \(1\)
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
For \(n \rightarrow \infty\) \(\begin{aligned} & \because 2-\sqrt{2} < 1 \\ & \therefore \lim _{n \rightarrow \infty}(2-\sqrt{2})^n \rightarrow 0\end{aligned}\)…
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