JEE Math Practice Question
$$\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over n} + {n \over {{{(n + 1)}^2}}} + {n \over {{{(n + 2)}^2}}} + ........ + {n \over {{{(2n + 1)}^2}}}} \right]$$ is equal to :
- A.$${{1 \over 2}}$$
- B.$${{1 \over 3}}$$
- C.1
- D.$${{1 \over 4}}$$
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