Answer
$\lim\limits_{x\to0}(3x-2)^4=16.$
Work Step by Step
By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$
$\lim\limits_{x\to0}(3x-2)^4=(\lim\limits_{x\to0}(3x-2))^4=(3(0)-2)^4=16.$
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