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

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

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

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

Does not exist

Solution steps

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

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

Does not exist

= Does not exist

\frac{d}{d x} (e^{- 2 x} (a cos (x) + b sin (x)))

x \to 0 + lim (\frac{6}{sin ( x )})

\frac{d y}{d x} + x y = y

\frac{d}{d x} (cot (7 x))

\int \frac{1}{x ^{2}} - \frac{1}{x ^{3}} d x

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