What is the limit as x approaches 1 of (1-x)^{ln(x)} ?

The limit as x approaches 1 of (1-x)^{ln(x)} is Does not exist

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limit as x approaches 1 of (1-x)^{ln(x)}

x \to 1 lim ((1 - x)^{l n (x)})

Does not exist

Solution steps

x \to 1 lim ((1 - x)^{l n (x)})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 1 + lim ((1 - x)^{l n (x)}) =

Does not exist

x \to 1 - lim ((1 - x)^{l n (x)}) = 1

= Does not exist

\int_{1}^{5} 4 x^{2} ln (x) d x

f^{^{'}} (x) = 2 sin (6 x), f (\frac{π}{6}) = - \frac{5}{2}

x \to 1 lim (sin (5 p i x))

x \to 1 + lim (\frac{x ^{2} + 1}{x - 1})

\frac{\partial}{\partial x} (x^{4} + 2 x^{2} y^{2})

What is the limit as x approaches 1 of (1-x)^{ln(x)} ?
The limit as x approaches 1 of (1-x)^{ln(x)} is Does not exist