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.
No limit.
an infinite number; no limit
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.
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.
The answer depends on the type of distribution for the data. It could be the modal class.
career in forestry be best related to?
The age of a star cluster can be determined by looking at the mass of stars at the turnoff point. If the stars at the turnoff point have a mass of 3 times the mass of the Sun (3m), then the age of the cluster is estimated to be around 1 billion years.
No limit.
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.
Clusters
Health Sciences.
No, there is no limit.(See the Related question.)
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
No, an earthquake's elastic limit refers to the maximum stress that rocks can withstand before they break and release energy, causing an earthquake. The point on the Earth’s surface directly above the earthquake focus is called the epicenter. While the elastic limit is related to the geological processes that lead to earthquakes, it is not the same as the epicenter.
True/Yes
See related questions
A star cluster. See related question