What is the limit as x approaches 64 of x^{2/3} ?

The limit as x approaches 64 of x^{2/3} is 16

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limit as x approaches 64 of x^{2/3}

x \to 64 lim (x^{\frac{2}{3}})

16

Solution steps

x \to 64 lim (x^{\frac{2}{3}})

Plug in the value

x = 64

= 6 4^{\frac{2}{3}}

Simplify

6 4^{\frac{2}{3}} : 16

= 16

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What is the limit as x approaches 64 of x^{2/3} ?
The limit as x approaches 64 of x^{2/3} is 16