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

f (x) = 3 (x + 1)

\frac{d y}{d x} - y = x e^{x}

x \to 3 lim (3 x^{2} - 7 x + 2)

x \to 5 + lim (- \frac{x}{x - 5})

\int \frac{1}{y ^{2} - 2 y} d y

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