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Let S ⊆ R be a nonempty compact set and p ∈ R. Prove that...

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Advance Math

Let S ⊆ R be a nonempty compact set and p ∈ R. Prove that thereexists a point x_0 ∈ S which is “closest” to p. That is, prove thatthere exists x0 ∈ S such that |x_0 − p| is minimal.

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Consider the function defined by We claim that this is continuous Let    See Answer
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