What is the limit as x approaches 0 of x^{e^x-1} ?

The limit as x approaches 0 of x^{e^x-1} is Does not exist

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limit as x approaches 0 of x^{e^x-1}

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

Does not exist

Solution steps

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

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

then the limit does not exist

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

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

Does not exist

= Does not exist

x \to - \infty lim (7^{x})

x \to π lim (\frac{cos ( 2 x )}{x})

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

h \to 5 lim (5 - h)

1 \to \infty lim (10)

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