0
If x is a cluster point for the sequence {x_n}, there is a subsequence of {x_n} whose limit is x. The subsequence can be constructed by choosing a sequence of shrinking neighborhoods V_k about x. Since x is a cluster point, each such neighborhood contains infinitely many elements of {x_n}. By choosing a new point x_k from each neighborhood V_k, we get a subsequence {x_k} of {x_n} with lim x_k = x.
Add your answer:
Earn +20 pts
Is there a limit to the number of lines that can intersect at one point?
No limit.
How many planes can intersect a line at a given point?
an infinite number; no limit
When does the derivative of a function exist at a given point?
Let f be a function and a be the given point you are considering. Then,f(x) - f(a)---------------(x-a)is the difference quotient. If the limit as x approaches a exists, then the function is differentiable at a, or we say the derivative exists at a. If that limit does not exist, then the derivative does not exist at that point.
How many lines can end in the same point?
I assume you mean that the line goes through a certain point. There is no limit to how many lines you can have through the same point.
What are the different rules of finding the limit of function?
Given a function sequence f1(x), f2(x), f3(x)..., the limit can be defined in several ways: - Point by point limit; that is, it converges to a new function at each point. - Lp convergence; that is, it converges to a new function in Lp-norm. - Almost everywhere convergent; that is, it converges to a new function except a set with measure zero.
Which cluster would a career in forestry be best related to?
career in forestry be best related to?
Is there a limit to the number of lines that can intersect at one point?
No limit.
What cluster does military go under?
The military typically falls under the "Security and Defense" cluster. This cluster deals with institutions and policies related to national security, defense, and law enforcement.
Is there a limit to how much you can type in your profile?
No, there is no limit.(See the Related question.)
What is the term to allocation units related to a hard drive?
Clusters
What career cluster is Pediatrician in?
Health Sciences.
What is the limit of proportionality?
limit of proportionality is the point where the spring expands in a non linear way / limit of elasticity is the point where the spring doesn't come back to it original shape
An inducer is a cluster of genes that codes for proteins with related functions?
True/Yes
What is the difference between an elliptical galaxy and a global cluster?
See related questions
What do you call a group of stars clusted?
A star cluster. See related question
What is a group of related items called?
A collection or set of related items is often referred to as a category, cluster, or grouping.
What is the limit at a point?
let A be any subset of a metric space X a point x belongs to X is called a limit point of A if every neighbourhood of x contain a point of A other than x
