What is the limit as x approaches 0 of (4x)^x ?

The limit as x approaches 0 of (4x)^x is Does not exist

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limit as x approaches 0 of (4x)^x

x \to 0 lim ((4 x)^{x})

Does not exist

Solution steps

x \to 0 lim ((4 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 ((4 x)^{x}) = 1

x \to 0 - lim ((4 x)^{x}) =

Does not exist

= Does not exist

x \to 0 lim ((1 + x^{2})^{\frac{3}{x}})

x \to - \infty lim (e^{x} + 3)

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

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

x \to 0 lim ((ln (x + 1))^{x})

What is the limit as x approaches 0 of (4x)^x ?
The limit as x approaches 0 of (4x)^x is Does not exist