Question Number 32137 by Joel578 last updated on 20/Mar/18
$$\underset{{x}\rightarrow\mathrm{5}} {\mathrm{lim}}\:\frac{{f}\left({x}\right){g}\left({x}\right)\:−\:\mathrm{3}{g}\left({x}\right)\:−\:\mathrm{3}}{{f}\left({x}\right)\:−\:\mathrm{3}\left({x}\:−\:\mathrm{5}\right)}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{g}'\left(\mathrm{5}\right) \\ $$