A point of a net having the property that the net is frequently in each neighborhood of the point. Now you know that a cluster is a group that are placed closely next to each other. A set or sequence A S r is said to cluster at a point p S not necessarily p A and p is called its cluster point or accumulation point iff every globe Gp about p contains infinitely many points respectively terms of A.
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A process of organizing objects into groups such that data points in the same groups are similar to the data points in the same group. When data seems to be gathered around a particular value. I am trying to understand an example given of the cluster points of the sequence a_n-1nIt is given that -1 and 1 are the only cluster points of this sequenceBut i am unable to understand mathematically why they-1 1 are the cluster pointThe definition of the cluster point that i know of is as follows. Then the point is a cluster point of if the delta-neighbourhood of contains at least one point from different from.