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JEE Math Practice Question

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

  1. A.$${{1 \over 2}}$$
  2. B.1
  3. C.0
  4. D.$${{1 \over e}}$$

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