What is the limit as x approaches-5 of (4-x)^{3/2} ?

The limit as x approaches-5 of (4-x)^{3/2} is 27

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limit as x approaches-5 of (4-x)^{3/2}

x \to - 5 lim ((4 - x)^{\frac{3}{2}})

27

Solution steps

x \to - 5 lim ((4 - x)^{\frac{3}{2}})

Plug in the value

x = - 5

= (4 - (- 5))^{\frac{3}{2}}

Simplify

(4 - (- 5))^{\frac{3}{2}} : 27

= 27

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What is the limit as x approaches-5 of (4-x)^{3/2} ?
The limit as x approaches-5 of (4-x)^{3/2} is 27