Given that $$\displaystyle \lim_{x \to 2} f(x) = 4 \qquad \lim_{x \to 2} g(x) = 11 \qquad \lim_{x \to 2} h(x) = 0,$$ find the following limits. If a limit does not exist, type "DNE".

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1. $\displaystyle \lim_{x \to 2} [f(x) + 2 g(x)] =$

2. $\displaystyle \lim_{x \to 2} [f(x)]^2 =$

3. $\displaystyle \lim_{x \to 2} \frac{-4 f(x) }{g(x)} =$

4. $\displaystyle \lim_{x \to 2} \frac{f(x) }{h(x)} =$

5. $\displaystyle \lim_{x \to 2} \frac{h(x) f(x) }{g(x)} =$

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