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# quiz3solutions - Quiz 3 MAA 4224~~Intr0duction t0 Analysis...

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Unformatted text preview: Quiz 3 MAA 4224~~Intr0duction t0 Analysis, Fall 2011 Student’s Name: <5 th‘MS E. Hironaka September 16, 2011 1. Use the Archimedean property to ShOW that 00 R = U(—n,n). n = 1 " ° cﬂk, “>2 B3 damn-W C~hm§=1>X€rfR >m<x~<vx1 ”guru/Kin. 3‘ GC-h'nh CR (—3 Talon AeR. ”WW” Meﬂl Se awoélN Wm 1x\<\/\ ‘ M’s .. Or ") CUGnm) \og Nah ”Pm/k. it 1%“ r y; ( n In “=\ 2. Give an example of a nested sequence of closed intervals In such that EVAMPM‘. 1h: [T'Jﬁ)ﬂfl‘;1 ...
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