To Kouam, you have posted this as a Calculus I question but most of the content if from topology.
Tell us what definitions you are using.
For example, you use n∈N does tgat mean N={0,1,2,3⋯}? If not then what?
What does limit point mean? Be complete is in answering.
What does interior point mean? What does boundary point mean?
What is the closure of a set?
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