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WB JEE 2016
MCQ (Single Correct Answer)
+1
-0.25
The value of

$$\mathop {\lim }\limits_{n \to \infty } \left\{ {{{\sqrt {n + 1} + \sqrt {n + 2} + ... + \sqrt {2n - 1} } \over {{n^{3/2}}}}} \right\}$$ is
A
$${2 \over 3}(2\sqrt 2 - 1)$$
B
$${2 \over 3}(\sqrt 2 - 1)$$
C
$${2 \over 3}(\sqrt 2 + 1)$$
D
$${2 \over 3}(2\sqrt 2 + 1)$$
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