that the grid markings on the graph represent the same scale for both x and y. Use the grid to find the ratio (f(x))/(g(x)) for 4 values of x that are different from x=a (use two x values to the left of a and two values to the right of a.), round to 4 decimal places. x_1=2 ; f(x_1)=0 ;g(x_1)=0 ; (f(x_1))/(g(x_1))=undefined x_2=2.5 ; f(x_2)=0 ;g(x_2)=0.4794 ; (f(x_2))/(g(x_2))=0 x_3=3.5 ; f(x_3)=1.5 ;g(x_3)=0.9974 ; f(x_3 )/g(x_3 ) =1.5055 x_4=4 ; f(x_4)=3 ;g(x_4)=0.9093 ; f(x_4 )/g(x_4 ) =3.3001 Based on your answers to step #5, what do you think is the limit of (f(x))/(g(x)) as xa? Explain your reasoning. Considering the values of the ratio a approaches 3. The zoomed-in version of the graph allowed us to approximate the slopes of the graphs near x=a. What is another name for the slope of a function at a point? Why does this suggest that lim_(xa) (f(x))/(g(x)) is the same as lim_(xa) (f'(x))/(g'(x))? Explain your reasoning. Based on your response to step #5, what is lim_(xa) (f(x))/(g(x))? The previous steps show the geometry behind something called L'Hpital's Rule. L'Hpital's Rule states, in part, that for differentiable functions f and g, with lim_(xa)