What is the limit as x approaches 0 of (2x-2)^3 ?

The limit as x approaches 0 of (2x-2)^3 is -8

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limit as x approaches 0 of (2x-2)^3

x \to 0 lim ((2 x - 2)^{3})

- 8

Solution steps

x \to 0 lim ((2 x - 2)^{3})

Plug in the value

x = 0

= (2 \cdot 0 - 2)^{3}

Simplify

(2 \cdot 0 - 2)^{3} : - 8

= - 8

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What is the limit as x approaches 0 of (2x-2)^3 ?
The limit as x approaches 0 of (2x-2)^3 is -8