real number - 04 R R A|B r A B R ]} , {[ n n b a r r ] , [...

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Unformatted text preview: 04 R R A|B r A B R ]} , {[ n n b a r r ] , [ 1 n n n b a r = Borel ] , [ b a E Bolzano-Weierstrass Cauchy } { n x >0 N n>Nm>N <- m n x x } { n x B } { n x B= } , | { n b x b n 2200 A=R\B, A|B } { n x B } { n x A x - 1 1 A A=R\B AB B b A a 2200 , n 5 b x a n < AB A|B R r A a B b b r a r x n n = lim 2200 A r - N 5 N x r <- } { n x n>N n N x x r <- B r + 2 + < + r r x n 2 n>N + < <- r x r n <- r x n r x n n = lim } { n x n n x y- = } { n y r r y y x n n n n n n- =- =- = lim ) ( lim lim R X R b 5 X x 2200 b x R R y x 2200 , y x y x X x R r 2200 , , r x r x r X r X...
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This note was uploaded on 11/18/2011 for the course SPMS pap111 taught by Professor Claus-dieterohl during the Summer '10 term at Nanyang Technological University.

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real number - 04 R R A|B r A B R ]} , {[ n n b a r r ] , [...

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