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

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

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

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

Does not exist

Solution steps

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

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)^{x - 1}) = (1 - 1)^{1} (1 - 1)^{- 1}

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

Does not exist

= Does not exist

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