Supply proofs for the following miscellaneous propositions from the course in a metric space context: (a)...

Supply proofs for the following miscellaneous propositions from the course in a metric space context:

(a) A convergent sequence is bounded.

(b) The limit of a sequence is unique.

(d) A finite union of open sets is open.

(e) A set is open if and only if its complement is closed.

(f) A compact set (you may use either definition) is closed and bounded.

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Expert Solution

Colby Messinger answered 1 year ago

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