What is the limit as x approaches 64 of x^{4/3} ?

The limit as x approaches 64 of x^{4/3} is 256

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limit as x approaches 64 of x^{4/3}

x \to 64 lim (x^{\frac{4}{3}})

256

Solution steps

x \to 64 lim (x^{\frac{4}{3}})

Plug in the value

x = 64

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

Simplify

6 4^{\frac{4}{3}} : 256

= 256

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What is the limit as x approaches 64 of x^{4/3} ?
The limit as x approaches 64 of x^{4/3} is 256