Visualizing L'Hopital's Rule
Move the slider or watch the animation, and observe that the ratio of the slopes of the tangent lines approaches the ratio of the values of the functions at the x-intercepts.
As the tangent lines approach each x-intercept, can you see how the ratio of their slopes ought to be a close approximation of the ratio of their values as L'Hopital's Rule would indicate?
The functions
have 3 points where the is undefined.
Please identify the three points explicitly and the limit at each of those points.