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JEE Math Practice Question

$$\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over {{n^2}}}{{\sec }^2}{1 \over {{n^2}}} + {2 \over {{n^2}}}{{\sec }^2}{4 \over {{n^2}}}.... + {1 \over n}{{\sec }^2}1} \right]$$ equals

  1. A.$${1 \over 2}\sec 1$$
  2. B.$${1 \over 2}$$cosec 1
  3. C.tan 1
  4. D.$${1 \over 2}$$tan 1

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