Problem 4. Let EsubC[0,1], and let ()/(bar) (E) denote the closure of E. (a) Prove that E is bounded if and only if ()/(bar) (E) is bounded (this part is actually true for any metric space). (b) Prove that E is equicontinuous if and only if ()/(bar) (E) is equicontinuous.

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Solution for - Problem 4. Let EsubC[0,1], and let ()/(bar) (E) denote the closure of E. (a) Prove that E is bounded

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(Solved): Problem 4. Let EsubC[0,1], and let ()/(bar) (E) denote the closure of E. (a) Prove that E is bounded ...

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