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Unformatted text preview: ( x )f ( y )   xy  . Let now x n x . Then  f ( x )f ( x n )   xx n  0, so f ( x n ) f ( x ). Hence f is continuous. Page 91 Problem 10. Let x R . Then from Q = R it follows that there exists r n Q such that r n x . Then f ( r n ) f ( x ), g ( r n ) g ( r ) and f ( r n ) = g ( r n ) imply that f ( x ) = g ( x ). 1...
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 Fall '10
 Girardi

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