What is the limit as x approaches 8 of x^{8/3} ?

The limit as x approaches 8 of x^{8/3} is 256

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limit as x approaches 8 of x^{8/3}

x \to 8 lim (x^{\frac{8}{3}})

256

Solution steps

x \to 8 lim (x^{\frac{8}{3}})

Plug in the value

x = 8

= 8^{\frac{8}{3}}

Simplify

8^{\frac{8}{3}} : 256

= 256

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What is the limit as x approaches 8 of x^{8/3} ?
The limit as x approaches 8 of x^{8/3} is 256