What is the limit as x approaches 81 of x^{3/4} ?

The limit as x approaches 81 of x^{3/4} is 27

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limit as x approaches 81 of x^{3/4}

x \to 81 lim (x^{\frac{3}{4}})

27

Solution steps

x \to 81 lim (x^{\frac{3}{4}})

Plug in the value

x = 81

= 8 1^{\frac{3}{4}}

Simplify

8 1^{\frac{3}{4}} : 27

= 27

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What is the limit as x approaches 81 of x^{3/4} ?
The limit as x approaches 81 of x^{3/4} is 27