The function $f(x) =$ ${x^{\frac{1}{{\ln \,x}}}}$

  • A

    is a constant function

  • B

    has a domain $(0, 1) U (e, \infty )$

  • C

    is such that $\mathop {\lim it}\limits_{x \to 1}  f(x) $ exist

  • D

    $(A)$ or $(C)$ both

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