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JEE Math Practice Question

$$\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2} + {3^2}}} + ..... + {1 \over {5n}}} \right)$$ is equal to :

  1. A.tan–1 (2)
  2. B.tan–1 (3)
  3. C.$${\pi \over 4}$$
  4. D.$${\pi \over 2}$$

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