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

The limit as x approaches 64 of x^{3/2} is 512

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

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

512

Solution steps

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

Plug in the value

x = 64

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

Simplify

6 4^{\frac{3}{2}} : 512

= 512

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What is the limit as x approaches 64 of x^{3/2} ?
The limit as x approaches 64 of x^{3/2} is 512