What is the limit as x approaches 5 of (5-x)^{x-5} ?

The limit as x approaches 5 of (5-x)^{x-5} is Does not exist

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limit as x approaches 5 of (5-x)^{x-5}

x \to 5 lim ((5 - x)^{x - 5})

Does not exist

Solution steps

x \to 5 lim ((5 - x)^{x - 5})

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

then the limit does not exist

x \to 5 + lim ((5 - x)^{x - 5}) =

Does not exist

x \to 5 - lim ((5 - x)^{x - 5}) = (5 - 5)^{5} (5 - 5)^{- 5}

= Does not exist

x \to 3 - lim (\frac{x - 5}{x ^{2} - 9})

x \to 1 lim (e^{- 4 x})

x \to - 2 lim (\frac{2 x}{4 - x ^{2}})

n \to 1 lim (ln (n))

x \to 0 lim (3 - 2 x - x^{2})

What is the limit as x approaches 5 of (5-x)^{x-5} ?
The limit as x approaches 5 of (5-x)^{x-5} is Does not exist