What is the limit as x approaches 81 of x^{3/2} ?

The limit as x approaches 81 of x^{3/2} is 729

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limit as x approaches 81 of x^{3/2}

x \to 81 lim (x^{\frac{3}{2}})

729

Solution steps

x \to 81 lim (x^{\frac{3}{2}})

Plug in the value

x = 81

= 8 1^{\frac{3}{2}}

Simplify

8 1^{\frac{3}{2}} : 729

= 729

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What is the limit as x approaches 81 of x^{3/2} ?
The limit as x approaches 81 of x^{3/2} is 729