What is the limit as x approaches 4 of (x-4)^{x-4} ?

The limit as x approaches 4 of (x-4)^{x-4} is Does not exist

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limit as x approaches 4 of (x-4)^{x-4}

x \to 4 lim ((x - 4)^{x - 4})

Does not exist

Solution steps

x \to 4 lim ((x - 4)^{x - 4})

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

then the limit does not exist

x \to 4 + lim ((x - 4)^{x - 4}) = (4 - 4)^{4} (4 - 4)^{- 4}

x \to 4 - lim ((x - 4)^{x - 4}) =

Does not exist

= Does not exist

x \to 3 lim (\frac{x - 3}{( x - 3 )})

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

x \to 0 lim (tan (x^{2} - x - 9))

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

x \to 9 lim (9 - x)

What is the limit as x approaches 4 of (x-4)^{x-4} ?
The limit as x approaches 4 of (x-4)^{x-4} is Does not exist