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Unformatted text preview: E 1 E 2 = . 2) Suppose that E R n is connected and E A E . Prove that A is connected. 3) Let f be defned on R 2 by f ( x,y ) = x  y  x 2 + y 2 . For which > 0 is it true that lim ( x,y ) (0 , 0) f ( x,y ) = 0 . 1...
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This note was uploaded on 07/25/2008 for the course MATH 421 taught by Professor Promislow during the Fall '07 term at Michigan State University.
 Fall '07
 PROMISLOW
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