What is the limit as x approaches 0 of (e^x-1)^x ?

The limit as x approaches 0 of (e^x-1)^x is Does not exist

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limit as x approaches 0 of (e^x-1)^x

x \to 0 lim ((e^{x} - 1)^{x})

Does not exist

Solution steps

x \to 0 lim ((e^{x} - 1)^{x})

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

then the limit does not exist

x \to 0 + lim ((e^{x} - 1)^{x}) = 1

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

Does not exist

= Does not exist

\frac{\partial}{\partial x} (x^{- 1} y^{2} + x y^{2} + 3 x y)

\int \frac{x ^{2} - x + 5}{x} d x

n = 1 \sum \infty \frac{n}{n + 5}

\frac{d}{d x} (- \frac{4}{3} sin (x) - \frac{5}{3} cos (x))

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

What is the limit as x approaches 0 of (e^x-1)^x ?
The limit as x approaches 0 of (e^x-1)^x is Does not exist