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1. Let F be a subset of R'. a. Prove that F is Closed if and only if F (_: F. (This is Theorem 4.18
1. Let F be a subset of R'\". a. Prove that F is Closed if and only if F\" (_: F. (This is Theorem 4.18 from the notes.) b. Prove that if p E F'} then for every '5 > {i} the set 8(3), E) H F is innite. c. Prove that F' is closed
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