What is the limit as x approaches 0 of (tan(5x))^x ?

The limit as x approaches 0 of (tan(5x))^x is Does not exist

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limit as x approaches 0 of (tan(5x))^x

x \to 0 lim ((tan (5 x))^{x})

Does not exist

Solution steps

x \to 0 lim ((tan (5 x))^{x})

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

then the limit does not exist

x \to 0 + lim ((tan (5 x))^{x}) = 1

x \to 0 - lim ((tan (5 x))^{x}) =

Does not exist

= Does not exist

What is the limit as x approaches 0 of (tan(5x))^x ?
The limit as x approaches 0 of (tan(5x))^x is Does not exist