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In: Advanced Math

2. Let x be a real number, and consider the deleted neighborhood N∗(x;ε). (a) Show that...

2. Let x be a real number, and consider the deleted neighborhood N∗(x;ε).

(a) Show that every element of N∗(x;ε) is an interior point.
(b) Determine the boundary of N∗(x;ε) and prove your answer is correct.

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