L'Hôpital's rule
Geometric interpretation

Consider the curve in the plane whose x -coordinate is given by g (t) and whose y -coordinate is given by f (t), with both functions continuous, i.e., the locus of points of the form. Suppose f (c) = g (c) = 0. The limit of the ratio f (t) / g (t) as t → c is the slope of the tangent to the curve at the point =. The tangent to the curve at the point is given by. L'Hôpital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined.
detectable_format:json_format