What is the limit as x approaches 0 of (1-1/x)^{x^2} ?

The limit as x approaches 0 of (1-1/x)^{x^2} is Does not exist

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limit as x approaches 0 of (1-1/x)^{x^2}

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

Does not exist

Solution steps

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

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

then the limit does not exist

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

Does not exist

x \to 0 - lim ((1 - \frac{1}{x})^{x^{2}}) = 1

= Does not exist

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What is the limit as x approaches 0 of (1-1/x)^{x^2} ?
The limit as x approaches 0 of (1-1/x)^{x^2} is Does not exist