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JEE Math Practice Question

If $$x = {e^{y + {e^y} + {e^{y + .....\infty }}}}$$ , $$x > 0,$$ then $${{{dy} \over {dx}}}$$ is

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

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