Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises - Page 76: 6

$4$

Theorem 2.3.6. Power rule: $\displaystyle \lim_{x\rightarrow a}(f(x))^{n}=\left(\lim_{x\rightarrow a}f(x)\right)^{n}$ --- $\displaystyle \lim_{x\rightarrow 2}(f(x))^{2/3}=(\lim_{x\rightarrow 2}f(x))^{2/3}$ $=(-8)^{2/3}=(-2^{3})^{2/3}=(-2)^{2}=4$