- #1
nonequilibrium
- 1,439
- 2
Is there a common notation for the set of limit points of a set?
The notation for a set of limit points is usually written as L(A), where A is the original set. It can also be written as lim(A) or limx→∞ A.
The set of limit points is defined as the set of all points that can be approached by a sequence of points in the original set. In other words, a point is a limit point if there exists a sequence of points in the original set that converges to that point.
There are several properties of a set of limit points, including that it is always closed, it contains all its accumulation points, and it is equal to the closure of the original set.
The set of limit points is closely related to the concept of a limit in calculus. It represents the set of all possible values that a function can approach as the input variable approaches a specific value.
The notation for a set of limit points is important because it allows us to express and analyze the behavior of a function near a specific point. It also helps us better understand the properties and relationships between different sets and their limit points.