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

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

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

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

- 1

Solution steps

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

Plug in the value

x = 1

= (1 - 2 \cdot 1)^{\frac{1}{1}}

Simplify

= - 1

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