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1.Relation and Function
normal
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
Solution

$y = x{\log _x}e$ $= e$ (constant)
$\Rightarrow A$ and $C$
as $\mathop {\lim it}\limits_{x \to 1} $ $f(x) = e$
Standard 12
Mathematics