Match the items of Column I with those of Column II. \begin{tabular}{|l|l|l|l|} \hline & Column ....
0Match the items of Column I with those of Column II.
\begin{tabular}{|l|l|l|l|}
\hline & Column I & & Column II \\
\hline (A) & \( \lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=1}^{n} \sqrt{\frac{n+r}{n-r}}= \) & (P) & \( \frac{\pi}{3} \) \\
\hline (B) & \( \lim _{n \rightarrow \infty} \sum_{r=1}^{n} \frac{n}{(n+r) \sqrt{r(2 n+r)}}= \) & (Q) & \( \frac{\pi}{2} \) \\
\hline (C) & \( \lim _{n \rightarrow \infty} \sum_{r=1}^{n} \frac{1}{\sqrt{2 r n-r^{2}}}= \) & (R) & \( \frac{\pi+2}{2} \) \\
\hline (D) & \( \lim _{n \rightarrow \infty} \sum_{r=1}^{n} \frac{n}{n^{2}+r^{2}}= \) & (S) & \( \frac{\pi}{4} \) \\
\hline
\end{tabular}
\begin{tabular}{lllll}
& A & B & C & D \\
(1) & S & P & R & Q \\
(2) & S & R & P & Q \\
(3) & \( \mathrm{Q} \) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{S} \) \\
(4) & \( \mathrm{R} \) & \( \mathrm{P} \) & \( \mathrm{Q} \) & \( \mathrm{S} \)
\end{tabular}
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