What is the limit as x approaches 1 of (1-x^2)^{1-x} ?

The limit as x approaches 1 of (1-x^2)^{1-x} is Does not exist

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limit as x approaches 1 of (1-x^2)^{1-x}

x \to 1 lim ((1 - x^{2})^{1 - x})

Does not exist

Solution steps

x \to 1 lim ((1 - x^{2})^{1 - x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 1 + lim ((1 - x^{2})^{1 - x}) =

Does not exist

x \to 1 - lim ((1 - x^{2})^{1 - x}) = (1 - 1^{2}) (1 - 1^{2})^{- 1}

= Does not exist

\frac{d}{d v} (u + v)

\int (1 + x)^{2} d x

\int \frac{x}{( 1 - x ^{2} )} d x

\frac{d}{d x} (- \frac{2 x}{( x + 1 ) ^{2} ( x - 1 ) ^{2}})

\int [5 x^{4} + 10 cos (x)] d x

What is the limit as x approaches 1 of (1-x^2)^{1-x} ?
The limit as x approaches 1 of (1-x^2)^{1-x} is Does not exist