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Question Number 32137 by Joel578 last updated on 20/Mar/18

lim_(x→5)  ((f(x)g(x) − 3g(x) − 3)/(f(x) − 3(x − 5))) = 0  Find the value of g′(5)

$$\underset{{x}\rightarrow\mathrm{5}} {\mathrm{lim}}\:\frac{{f}\left({x}\right){g}\left({x}\right)\:−\:\mathrm{3}{g}\left({x}\right)\:−\:\mathrm{3}}{{f}\left({x}\right)\:−\:\mathrm{3}\left({x}\:−\:\mathrm{5}\right)}\:=\:\mathrm{0} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{g}'\left(\mathrm{5}\right) \\ $$

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