At frequencies much higher than it can be shown that the skin depth, rather than continuing to decrease, approaches an asymptotic value:

However as the frequency is increased well into the megahertz range, its skin depth never falls below the asymptotic value of 11 meters.

Bollobás's asymptotic value of the chromatic number of random graphs.

In a chaotic system, we call the Lyapunov exponent the asymptotic value of the greatest eigenvalue of H:

Provided the ice-sheet isn't allowed to refreeze, the strength of the ice continues to decrease approaching an asymptotic value.

The following graph illustrates the asymptotic value of as a function of the rewiring probability .

Related to approximation of functions is the asymptotic value of a function, i.e. the value as one or more of a function's parameters becomes arbitrarily large.

Each flux approaches an asymptotic value as the membrane potential diverges from zero.

He assisted Nevanlinna in 1929 with his work on Denjoy's conjecture on the number of asymptotic values of an entire function.

Let the functional be the asymptotic value of some estimator sequence .