What is the limit as x approaches 2 of (x-2)^{x-2} ?

The limit as x approaches 2 of (x-2)^{x-2} is Does not exist

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limit as x approaches 2 of (x-2)^{x-2}

x \to 2 lim ((x - 2)^{x - 2})

Does not exist

Solution steps

x \to 2 lim ((x - 2)^{x - 2})

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

then the limit does not exist

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

x \to 2 - lim ((x - 2)^{x - 2}) =

Does not exist

= Does not exist

\frac{d}{d x} ((\frac{1}{2 x + 3})^{3})

f (x) = arctan (\frac{1 + x}{1 - x})

\frac{\partial}{\partial x} (1 + x^{3} + y^{4})

\int \frac{3 x + 4}{x + 3} d x

\int_{0}^{1} - 10 (x^{2} + 1) e^{- x} d x

What is the limit as x approaches 2 of (x-2)^{x-2} ?
The limit as x approaches 2 of (x-2)^{x-2} is Does not exist