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If x=e^(y+e^(y+e^(y+...oo))),xgt0, then...

If `x=e^(y+e^(y+e^(y+...oo))),xgt0`, then `(dy)/(dx)` is equal to

A

`x/(1+x)`

B

`1/x`

C

`(1-x)/x`

D

`(1+x)/x`

Text Solution

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The correct Answer is:
C
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