_ n , _ r = 0 ^n n ( 2r + n ) ^2 is equal to - Vidyadip

MCQ

$\mathop {\lim }\limits_{n \to \infty } \,\sum\limits_{r = 0}^n {\frac{n}{{{{\left( {2r + n} \right)}^2}}}} $ is equal to

A
$1$
B
$-1$
C
$2$
✓
$\frac {1}{3}$

✓

Answer

Correct option: D.

$\frac {1}{3}$

d
$\int\limits_0^1 {\frac{{dx}}{{{{\left( {2x + 1} \right)}^2}}}} $

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