AP EAMCET · Maths · Limits
\(\lim _{n \rightarrow \infty}\left(\frac{\sqrt{1}+2 \sqrt{2}+3 \sqrt{3}+\ldots+n \sqrt{n}}{n^{\frac{5}{2}}}\right)=\)
- A 1
- B \(\frac{5}{2}\)
- C 0
- D \(\frac{2}{5}\)
Answer & Solution
Correct Answer
(D) \(\frac{2}{5}\)
Step-by-step Solution
Detailed explanation
We have, \[ \lim _{x \rightarrow \infty}\left[\frac{\sqrt{1}+2 \sqrt{2}+3 \sqrt{3}+\ldots+n \sqrt{n}}{n^{5 / 2}}\right] \]…
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