What is the limit as x approaches 0 of (2x-8)^{1/3} ?

The limit as x approaches 0 of (2x-8)^{1/3} is 2(-1)^{1/3}

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limit as x approaches 0 of (2x-8)^{1/3}

x \to 0 lim ((2 x - 8)^{\frac{1}{3}})

2 (- 1)^{\frac{1}{3}}

Solution steps

x \to 0 lim ((2 x - 8)^{\frac{1}{3}})

Plug in the value

x = 0

= (2 \cdot 0 - 8)^{\frac{1}{3}}

Simplify

(2 \cdot 0 - 8)^{\frac{1}{3}} : 2 (- 1)^{\frac{1}{3}}

= 2 (- 1)^{\frac{1}{3}}

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What is the limit as x approaches 0 of (2x-8)^{1/3} ?
The limit as x approaches 0 of (2x-8)^{1/3} is 2(-1)^{1/3}