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

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

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

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

i

Solution steps

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

Plug in the value

x = - 1

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

Simplify

(- 1)^{\frac{1}{1 - ( - 1 )}} : i

= i

y \to 1 lim (\frac{4}{3 y ^{2}})

x \to 90 o lim (- 5 sin (x))

x \to 0 + lim (2 x + 3)

y \to 0 lim (sin (y))

t \to 1 lim (e^{t - 1})

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