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

The limit as x approaches 4 of (3x-3)^{5/2} is 243

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

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

243

Solution steps

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

Plug in the value

x = 4

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

Simplify

(3 \cdot 4 - 3)^{\frac{5}{2}} : 243

= 243

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f (x) = \frac{4}{x ^{2}}, (1, 4)

What is the limit as x approaches 4 of (3x-3)^{5/2} ?
The limit as x approaches 4 of (3x-3)^{5/2} is 243