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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

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

Simplify

= 1

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x \to 0 lim (sin (x))

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