Supply proofs for the following miscellaneous propositions fromthe course in a metric space context:
(a) A convergent sequence is bounded.
(b) The limit of a sequence is unique.
(c) A n -neighborhood is an open set.
(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 andbounded.
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