AP EAMCET · Maths · Limits
\(\lim _{n \rightarrow \infty} \frac{1}{n}[(n+1)(n+2)\) \((2 n)]^{\frac{1}{n}}=\)
- A 1
- B 0
- C \(\frac{2}{e}\)
- D \(\frac{4}{e}\)
Answer & Solution
Correct Answer
(D) \(\frac{4}{e}\)
Step-by-step Solution
Detailed explanation
Let \(P=\lim _{n \rightarrow \infty} \frac{1}{n}[(n+1)(n+2) \ldots \ldots(2 n)]^{1 / n}\) On applying ' \(\log ^{\prime}\) both sides, we get…
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