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Hint: Consider theThe function $f(x)=x^{1/x}$$x \mapsto x^{1/x}$ has a single critical point at $x=e$ and is decreasing for $x \gt e$.
Hint: Consider the function $f(x)=x^{1/x}$.
Hint: The function $x \mapsto x^{1/x}$ has a single critical point at $x=e$ and is decreasing for $x \gt e$.
