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Question

Real Analysis Question on Sequences and Series

The value of
limnk=2nn+1nk(lnk)2\lim_{n \to \infty} \sum_{k=2}^n \frac{\sqrt{n} + 1 - \sqrt{n}}{k(\ln k)^2}
is equal to

A

\infty

B

11

C

ee

D

00

Answer

00

Explanation

Solution

The correct option is (D): 00