For these cases we can say that the "limiting behavior" as ε→0 equals the "behavior in the limit" where ε = 0.
The road could hardly be seen...The fields were all in a whirl, and the limit where sky and earth met could not be seen".
(The New York Times) Back in the days when cars were insensitively named after American Indians and other groups, the sky was the limit where potentially offensive monikers were concerned.
"Even with current rainfall systems, many forests are coming close to the limit where they shed their protective layer and become vulnerable to burning or slowed-down growth and die," said Dr. Dan Nepstad, an American scientist who works both with IPAM and the Woods Hole Research Center in Massachusetts.
At what point do we hit the limit where the Internet gets overloaded?
Acoustic radiation of a dipole type is found in the limit where the cylinder is acoustically compact.
Acoustic radiation of dipole type is calculated and discussed in the limit where the flag is acoustically compact.
Acoustic radiation of a dipole type is calculated and discussed in the limit where the plate is acoustically compact.
In the limit where the neutral density or the collision frequencies go to zero, this equation returns to Eq. (6).
In the limit where, the non-saturation model provides the same results as the saturation model presented in [3].
These solutions remain finite in a neighborhood of smooth caustics, adequately describing the exact solution, even in the limit where the observation point is on the caustic.
