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Show that the maximum value of (1/x)^x i...

Show that the maximum value of `(1/x)^x` is `e^(1/e)dot`

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To find the maximum value of the function \( f(x) = \left( \frac{1}{x} \right)^x \), we can follow these steps: ### Step 1: Rewrite the function We can rewrite the function in a more manageable form using logarithms. Let: \[ y = \left( \frac{1}{x} \right)^x \] Taking the natural logarithm on both sides, we have: ...
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