Let f(x)={6−x−x2ifx≤42x−3ifx>4\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {6}-{x}-{x}^{{2}}&\text{if}&{x}\leq{4}\\{2}{x}-{3}&\text{if}&{x}>{4}\end{array}\right.}

Calculate the following limits. Enter "DNE" if the limit does not exist.

lim⁡x→4−  f(x)=\displaystyle \lim_{{{x}\to{4}^{{-}}}}\ \ {f{{\left({x}\right)}}}=  

lim⁡x→4+  f(x)=\displaystyle \lim_{{{x}\to{4}^{+}}}\ \ {f{{\left({x}\right)}}}=  

lim⁡x→4  f(x)=\displaystyle \lim_{{{x}\to{4}}}\ \ {f{{\left({x}\right)}}}=  

License