Question: Evaluate following limits if exist(s)

1. \[{{\lim }_{x\to -4}}\frac{{{x}^{2}}+5x+4}{{{x}^{2}}+3x-4}\]
2. \[{{\lim }_{x\to {{2}^{+}}}}\frac{|x-2|}{x-2}\]
3. \[{{\lim }_{x\to -2}}\frac{{{x}^{3}}+8}{x+2}\]
4. \[{{\lim }_{x\to \infty }}2-{{x}^{-3}}\]
5. \[{{\lim }_{x\to 3}}\frac{x+3}{{{x}^{2}}-9}\]

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