Question

the sequence n has limit point (a) one (b)zero (c) no (d) none of thes​

Answer 1

the sequence in has n limit point :- one

Answer 2

Answer:

(c) no

The sequence n has no limit point.

Explanation:

N sequence has no upper limit. We require a sequence {xn} where xn≠x is a point in our set that approaches x for a point x to be a limit point. Due to the fact that points are at least one unit apart from one another, that is not the case for the set of natural numbers.

• A sequence's limit is a point where every neighborhood around it contains an infinite number of terms from the sequence. A set's limit point is a location where every area in its immediate vicinity is home to an infinite number of the set's points. N therefore lacks a limit. Make this post active.
• A sequence xn where xnx in our set approaches x is required for a point x to be a limit point. Points are at least one unit apart from one another, so that does not occur for the set of natural numbers. Evidently, l is a limit point of the sequence u if l=un for all n, regardless of the number of possible values. Comparable to sets of real numbers.