For the set S = {1,2,3,4} U (5,6), what is

- an interior point of S?
- A point S n delS?
- A point in delS - S
- An accumulation point of S that is not in S (and a sequence that converges to it)
- A ball about the point x = 5.03 that is contained in S?

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- Mar 10th 2013, 02:22 PMjhh1014Finding interior point and accumulation point
For the set S = {1,2,3,4} U (5,6), what is

- an interior point of S?
- A point S n delS?
- A point in delS - S
- An accumulation point of S that is not in S (and a sequence that converges to it)
- A ball about the point x = 5.03 that is contained in S?

- Mar 10th 2013, 02:29 PMPlatoRe: Finding interior point and accumulation point
- Mar 10th 2013, 02:51 PMjhh1014Re: Finding interior point and accumulation point
∂S, is the boundary of S. I think the ∂S is the set {1,2,3,4,5,6}, but I am not sure. Would that make a point in S ∩ ∂S be any of those numbers?

- Mar 10th 2013, 03:22 PMPlatoRe: Finding interior point and accumulation point