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Unformatted text preview: ) = x . Part 2 3. (a) Show that if ( a n ) n N is a convergent sequence of nonnegative real numbers then lim n a n = q lim n a n (b) Problem 2 from page 78 Part 3 4. Let K be a compact metric space, and { G } A an open cover of K . Prove that there exists > 0 such that for every x K there exists A such that N ( x ) G . 1...
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 Fall '10
 Prof.KatrinWehrheim

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