The function \( f(x)=x^{1 / x} \) is (a) Increasing in \( (1, \infty) \) (b) Decreasing in \( (1...

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The function \( f(x)=x^{1 / x} \) is
(a) Increasing in \( (1, \infty) \)
(b) Decreasing in \( (1, \infty) \)
(c) Increasing in \( (1, e) \), decreases in \( (e, \infty) \)
(d) Decreasing in \( (1, e) \), Increases in \( (e, \infty) \)
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