What is the limit as x approaches 0 of x^{2^{-x}} ?

The limit as x approaches 0 of x^{2^{-x}} is 0

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limit as x approaches 0 of x^{2^{-x}}

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{2^{- 0}}

Simplify

= 0

x \to 243 lim (5 x)

x \to 0 lim (+ (sin (x))^{x})

x \to 0 lim (3 e^{x} + cos (2 x))

x \to \infty lim (0.7 5^{x})

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

What is the limit as x approaches 0 of x^{2^{-x}} ?
The limit as x approaches 0 of x^{2^{-x}} is 0