What is the limit as x approaches 0 of (3x-2)^4 ?

The limit as x approaches 0 of (3x-2)^4 is 16

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limit as x approaches 0 of (3x-2)^4

x \to 0 lim ((3 x - 2)^{4})

16

Solution steps

x \to 0 lim ((3 x - 2)^{4})

Plug in the value

x = 0

= (3 \cdot 0 - 2)^{4}

Simplify

(3 \cdot 0 - 2)^{4} : 16

= 16

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What is the limit as x approaches 0 of (3x-2)^4 ?
The limit as x approaches 0 of (3x-2)^4 is 16