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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

t \to - 2 lim (\frac{t ^{4} - 8}{2 t ^{2} - 3 t + 8})

\frac{d y}{d t} - 2 t y = t

\frac{d y}{d x} = - 10 x y

\int t sin (t) cos (t) d t

x \to \infty lim (x y)

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