\(=\lim\limits_{n\rightarrow-3}\dfrac{\sqrt{6-n}-3}{n+3}+\lim\limits_{n\rightarrow-3}\dfrac{2-\sqrt{1-n}}{n+3}+\lim\limits_{n\rightarrow-3}\dfrac{2n+5+1}{n+3}\)
\(=\lim\limits_{n\rightarrow-3}\dfrac{-\left(n+3\right)}{n+3}+\lim\limits_{n\rightarrow-3}\dfrac{n+3}{n+3}+\lim\limits_{n\rightarrow-3}\dfrac{2\left(n+3\right)}{n+3}\)
\(=-1+1+2=2\)
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