Answer
$$\lim_{x\to0^+}g(x)=2$$
Work Step by Step
$$\lim_{x\to0^+}(4g(x))^{1/3}=2$$
$$(\lim_{x\to0^+}4g(x))^{1/3}=2$$
$$\lim_{x\to0^+}4g(x)=8$$
$$4\lim_{x\to0^+}g(x)=8$$
$$\lim_{x\to0^+}g(x)=2$$
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