Match List–I with List–II and select the correct answer using the code given below the list. 

	List–I		List–II
(P)	$\sum _{r=1}^n\frac{2r+1}{{(r^2+r)}^2}$	(1)	$\frac{n+2}{2(n+1)}$
(Q)	$\underset{n\to \infty }{\lim }\sum _{r=1}^n\frac{(2r+1)}{{(r^2+r)}^2}$	(2)	$\frac{n(n+2)}{{(n+1)}^2}$
(R)	$\prod _{k=1}^n\left(\sum _{r=1}^k\frac{(2r+1)}{{(r^2+r)}^2}\right)$	(3)	1
(S)	$\underset{n\to \infty }{\lim }\prod _{k=1}^n\left(\sum _{r=1}^k\frac{(2r+1)}{{(r^2+r)}^2}\right)$	(4)	$\frac{1}{2}$