(a) Give a definition of a closed set. (b) Show, directly from the definition, that a...

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(a) Give a definition of a closed set.

(b) Show, directly from the definition, that a union of finitelymany closed sets is closed.

(c) Give an example of a countable collection of closedintervals In such that ? n=1 to ? In is open (make sureto prove it).

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