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  α x 2 + y 2 . For which α > 0 is it true that lim ( x,y ) → (0 , 0) f ( x,y ) = 0 . 1...
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 Fall '07
 PROMISLOW
 Topology, Sets, lim, General topology, Rn define dist

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