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

The limit as x approaches 0-of (-x)^{-x} is 1

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

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

1

Solution steps

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

Apply exponent rules

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

Apply the Limit Chain Rule:

1

= 1

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y^{3} - 2 x - 2 d x + 3 y^{2} x d y = 0

\frac{d}{d x} (sec (x) tan (x) (x) (x + 1))

\frac{\partial}{\partial x} (8 x e^{x y})

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