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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{\frac{1}{1 - 0}}

Simplify

= 0

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