The maximum value of (1/x)^x for x > 0 is Option 1: e Option 2: e^1/e Option 3: (1/e)^1/e Option 4: e^e

The answer is 'e^1/e'. View full solution:

Calculus > Application of Derivatives

Medium

common

The maximum value of $\left(\frac{1}{x}\right)^x$ for $x > 0$ is

$e$

$e^{1/e}$

$\left(\frac{1}{e}\right)^{1/e}$

$e^e$

✅ Correct Option: 2

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