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JEE Math Practice Question

$$\mathop {Lim}\limits_{n \to \infty } \sum\limits_{r = 1}^n {{1 \over n}{e^{{r \over n}}}} $$ is

  1. A.$$e+1$$
  2. B.$$e-1$$
  3. C.$$1-e$$
  4. D.$$e$$

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