Greatest or least value of log x / x and (1/x)^x

1. A.
   $e$
2. B.
   $2e$
3. C.
   $\frac{1}{e}$
4. D.
   $\frac{2}{e}$

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1. A.
   $e^e$
2. B.
   $e^{-e}$
3. C.
   $e^{1/e}$
4. D.
   $\left(\dfrac{1}{e}\right)^{1/e}$

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1. A.
   $0$
2. B.
   $e$
3. C.
   $\dfrac{1}{e}$
4. D.
   Does not exist

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