$\lim _{n \rightarrow…

$\lim _{n \rightarrow \infty}\left[\frac{\sqrt{n^2-1^2}}{n^2}+\frac{\sqrt{n^2-2^2}}{n^2}+\frac{\sqrt{n^2-3^2}}{n^2}+\ldots\right.$ to $n$ terms $]=$
  1. $\frac{\pi}{4}$
  2. $\frac{\pi}{2}$
  3. $\frac{\pi}{3}$
  4. $\frac{2 \pi}{3}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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