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quiz4solutions

# quiz4solutions - Quiz 4 MAA 4224—Introduction to Analysis...

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Unformatted text preview: Quiz 4 MAA 4224—Introduction to Analysis, Fall 2011 Student’s Namezm E. Hironaka September 22, 2011 1‘ Show that the following sets are countable: (a) 5-; {0.1,0.01,0.001,0.0001,...} Wall Mead). M ““ M .L. ~?\N%S 3“”UAEm'jl “ h” .P(m\: ".12; M will); 5rdTO :13 \«t NEW 3 Mg a Lowe“ ”WW %% \a\ 3 13‘ ()3qu Wall 3:36 Egn‘ﬁ/WYS ‘9‘ N “5 3 2229’ l} m KW “cl 7. - 4?le ' KL 3mm :9 ‘V‘ ”A A DOM ”W“ J5 [67‘ 2 ‘ A, {man 24% 4‘3 \4 94W -lN S 3.3lsobww- 2. If Z is the set of all integers, and ZZ is the set of all even integers, show thatAmB. ’ _ «N. we; W“ a. s 3 10 m3 7?. 2 U 3“?“ U ’ “Qt ZZ. ”>271 3,451- 90‘3 ’3'“ ‘3 ”with {late/06 ’5 l’l : 1W0 34:53) {”3 maul as xca 0,2,2} 0° 2 ; Ullnﬁlwg U 71L m1 1 is 0‘ Lauri—“he" WUV 6m; Tate. jg 21-0 :3 (SW [K (gym 931 :3) 00M \$3.671 Q ‘9Q523:\3‘ 7’ J v \ 21 NW H LZmlN \ 4.11%». :J‘dx/Cv 7 (V11 ’ ...
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