Question: 4. QUESTION 4 Consider (R. 7), where 7 is the finite complement topology, i.e., U C R is an open set, if U* = R

 4. QUESTION 4 Consider (R. 7), where 7 is the finite

4. QUESTION 4 Consider (R. 7), where 7 is the finite complement topology, i.e., U C R is an open set, if U* = R - U equals R, or UC is a finite set. (20 points) I) Consider the sequence {}-1 = In=1. Find all points a c K, such that , I'm= converges to those points. II) Consider the sequence {on), = {n)21. Is this sequence convergent? If yes, find all points y e R, such that {on} converges to those points

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