Let limx3f(x)=8\displaystyle \lim_{{{x}\to-{3}}}{f{{\left({x}\right)}}}=-{8}  and limx3g(x)=8\displaystyle \lim_{{{x}\to-{3}}}{g{{\left({x}\right)}}}={8} . Find limx3[f(x)g(x)]\displaystyle \lim_{{{x}\to-{3}}}{\left[{f{{\left({x}\right)}}}-{g{{\left({x}\right)}}}\right]} .