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) f(x)=0 and lim_(xa) g(x)=0, then lim_(xa) (f(x))/(g(x))=lim_(xa) (f'(x))/(g'(x)) if the limit of the quotients of the derivatives exists