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JEE Math Practice Question

The sum of the series $$1 + {1 \over {4.2!}} + {1 \over {16.4!}} + {1 \over {64.6!}} + .......$$ ad inf. is

  1. A.$${{e - 1} \over {\sqrt e }}\,$$
  2. B.$${{e + 1} \over {\sqrt e }}$$
  3. C.$${{e - 1} \over {2\sqrt e }}$$
  4. D.$${{e + 1} \over {2\sqrt e }}$$

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