Let f(x)={−2−x+1ifx<−31ifx=−33x+11ifx>−3\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} \sqrt{{-{2}-{x}}}+{1}&\text{if}&{x}\lt-{3}\\{1}&\text{if}&{x}=-{3}\\{3}{x}+{11}&\text{if}&{x}>-{3}\end{array}\right.}
Calculate the following limits. Enter "DNE" if the limit does not exist.
lim⁡x→−3−  f(x)=\displaystyle \lim_{{{x}\to-{3}^{{-}}}}\ \ {f{{\left({x}\right)}}}=  

lim⁡x→−3+  f(x)=\displaystyle \lim_{{{x}\to-{3}^{+}}}\ \ {f{{\left({x}\right)}}}=  

lim⁡x→−3  f(x)=\displaystyle \lim_{{{x}\to-{3}}}\ \ {f{{\left({x}\right)}}}=  

f(−3)=\displaystyle {f{{\left(-{3}\right)}}}=  

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