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ㄱ. $\displaystyle \lim\limits _{x \rightarrow 0} \frac{16 | x | ^{2}}{4 | x ^{2} |} = \lim\limits _{x \rightarrow 0} \frac{16 x ^{2}}{4 x ^{2}} = 4$ $\therefore$ 참 ㄴ. $\displaystyle \lim\limits _{x \rightarrow 0} \frac{( 2 x ^{2} + 2 x ) ^{2}}{2 x ^{4} + 2 x ^{2}} = \lim\limits _{x \rightarrow 0} \frac{( 2 x + 2 ) ^{2}}{2 x ^{2} + 2} = 2$ $\therefore$ 거짓 ㄷ. $\displaystyle \lim\limits _{x \rightarrow 0} \frac{\left( x + \frac{4}{x} \right) ^{2}}{x ^{2} + \frac{4}{x ^{2}}} = \lim\limits _{x \rightarrow 0} \frac{( x ^{2} + 4 ) ^{2}}{x ^{4} + 4} = 4$ $\therefore$ 참 따라서, 옳은 것은 ㄱ, ㄷ이다.