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

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

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

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

Does not exist

Solution steps

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

Does not exist

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

= Does not exist

\int \frac{x ^{6}}{( 8 - x ^{7} ) ^{2}} d x

\frac{1}{x - 1}, 6

x \to 0 lim (\frac{e ^{x} - 1}{18 x})

\frac{x}{2 x + x - 3}

\int (in x)^{2} d x

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