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Question
If $x = {e^{y + {e^y} + {e^{y + .....\infty }}}}$ , $x > 0,$ then ${{{dy} \over {dx}}}$ is
${{1 + x} \over x}$
${1 \over x}$
${{1 - x} \over x}$
${x \over {1 + x}}$

Solution

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