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JEE Mains · Maths · STD 11 - 12. limits
\(\lim _{n \rightarrow \infty}\left(1+\frac{1+\frac{1}{2}+\ldots \ldots .+\frac{1}{n}}{n^{2}}\right)^{n}=.........\)
- A \(\frac{1}{2}\)
- B \(0\)
- C \(\frac{1}{ e }\)
- D \(1\)
Answer & Solution
Correct Answer
(D) \(1\)
Step-by-step Solution
Detailed explanation
Given limit is of \(1^{\infty}\) form \(\text { So, } l=\exp \left(\lim _{n \rightarrow \infty} \frac{1+\frac{1}{2}+\frac{1}{3}+\ldots \ldots .+\frac{1}{n}}{n}\right)\) Now,…
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