List 1 - Real Numbers

List 1 - Real Numbers - EXERCISES- LIST #1.. REALNuMBERs....

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Unformatted text preview: EXERCISES- LIST #1.. REALNuMBERs. WNW. __ ' 4- 21.:“ Id; G- 8: a. «gem 0.? (IRA-J. flaw that. G- 15 «Emma? fin. foug- qZ .fdzsouge «>0 , a Wain-t- lR.[eouu'da £uf[&")J fled-use. Hunt wflewuua e IRAQ , l-l-dZ 4.19am Lu IR. 23f I’d; 42.92am a: 45mm wcam Vandem '- -F(2.+13)= “ad-Mfg) , ¥cay)=¥(x)-F{g). {Ecml-ant. .f. auflewa. flcgmMMIQFfieo‘Wg-xax [$(4)=1no _; m HUI-t 45-63!“ MIC "-1 3M 7-, Q ,ewnd minds. - “a! War #1220 = ¥f23= 1202):]- 3 o Cam’s- Runny. I‘d: Lu“) 6:. 4 our-4m 9119:;me muffle: 3 {$1141 = 2 em, 'Sflcw Hut 2; g _%_(4:A+u¢+-nzufl) MW 40 Eu m [WM lfi‘N-e] éfig1lun_u + fl Z'um_“ 11.: Inf-H 5 deal: - . 7 4'. 10% (law) As. amines 0* adult-«Sou, handed, me. lad..- - 2 “n+4:- uni-“m ins... ,un‘ifl tan=a 161m rem-t ec‘m (rum) =0 [wow Hm; Mapumso’ MM u...an +60 . Ir ‘ fat. @609”), mdfium) dagouga-vfitj : met-33046111, lam-1.1::- fl¢n+ ’1an_4 (fla’i). a a?“ un. sf?“ 6*? fat 9M 'Ri-v-be-p 3!. a. guncb‘ou ween-hat (fifx-v-oa-flczflg-a. ‘ Q ‘ “M Heal: me. wt 9.? dust-u:- 9r¢5s+s 9:; We KTIAW (6mm) 4:9 18“. Mdmfew (D. - X . . q 7. «Fat: Canny,“ 45¢ «1-ch an. IR... ,1»th 6:3 “3:4 :0. m «11:1 fig.“ m—‘Q-bo [8:2ch mu. mevn wen-44' M(Vm/VM)=1 j.- m «a»: 8. Ira—6 Cam.) 6-0- amcpmuoe 431- m:- 'w-L'Jfi Z0.“ Limo. men. me: E 4% (+001 M“ Ma:- ' a??? m mud—aw is. aflfid-in-u. 181m Rant N 2 Z than) 253:2)id2961703 un=.' a “a. “#1:? 'h‘ 142mm 2 0.9.54 ? lo 9‘: 422.2: Gamma JWW 4-9 0. "ecnw Rte wane...“ (4:6) (1:) 1?; am 4+“: (1") Z pma-a (+60. mm, P CO [I o (of: Gun) «8e adequm ofimcafwmfim weanatZJuwfiumk-u. =4 18cm {hat 38a». u.“ e 11:; 51-1.: ’2. . aw: (run) 3‘: a «team cg?de ,aud 96 fit. ‘Suppm +02 Mouth"; more-1.13. ace“: << Fr; wwbmctumce. (u‘Ptm) “>4”! , Mm cum-.1 a. wb- 52me (1.?“de +13 9-7) {aw Heat. Whm-anfl. [3. {at pend, 924. {at (“um”) fie a.ch dudwmmd 96R. 5:2: at: W$u:e::."”"3’ 5f?“ “PMdPQ' ’4... id: £r. ['o‘fl—§+Ca:,fl 64. anal-am” fiwmgau¢f¢¢dpvé¢ 6e. 326E0,43 -. gran-‘2. fear): gray-z] E (3‘. aw: (rum) ea (1 We. MUM-Ice. are: M- mum) , I «2.4 My?“ +042 V'ne-w, um géM. first: H’zeu Hm: Md: 0‘ chum PM 0:? (mm). . . IG‘. old: (rum) Are amen-e4 sf rug-9mm. {uer man a M (M231) I 3% (“am-M) . a mcuan) - 1““ m‘ “1‘9 1P1“ I 3 (run). I???" stat (aw) hag-(rum #wmmmam; V‘mm EN: rum+m 5 «Am-bum. flow“ 3 (nu/fl) €[RUf-—ao}.[fi.k New, {-1 «1),N Mm Ru. mceo'dem "nz gnu-6 ,‘M'MM; and. datum mu: ‘ Mw(w/m) é flim‘nffun/«n3-J . '18 .‘ ant seem, “The. alkyaerauol 2:. data” [3] a hWfig; ['35]: was {meow new}. {at xm=15nf1omzl flaw 48ml amen ,md mix. arm-mat. 11-900 A defluim 0.: +312. cup-neuth- Cd: «)4 6c a feral azqu . RM Kurt 10¢ flare flung: "ufiaM-fl Rm. cu‘sMn/wr‘cwm ‘ ‘I T! afi- a me W60: dunked a,“ such Rut Calm“) =4 (mg-1), 1 P I? Q=£ semi-come _, define a’P:=(q"t) j fladeflnt: dawn-{M dou-ud: depend cm 9,9. flaw, $7236.13. were-1: 3*? ax: A“? f a“: 1252}. 1 ‘mm Rut rice warm xeer—b Jam .6: Jams,“uhm aunt sm'pfim' ‘3‘": = 2’4}. [Hint : paw. {cut that Jig.“ d... 811:0 flea-w Hum. «was «16-2. -. yin (as am“ CW 'xy, 'rd up) . ' | P q 2. {am Want 1.? .f; as duafiaw.) Men flx): 3U? «tea-arc Q- a. .5 3C } [4“: aims sense-m“ Moo-WITH]. 3. «fat 42 6. “Jewel. m2. film: W mflm'mrm) m M g d“ iumuiua. 4-. imm~e {34's owl-I:me .1 :L ,Ggaawreu.’ 4am mam-aka. of 3m )4 mm giga. 61mm. {awh‘wuwm mi. 5‘- PM Hunt in: {Lei—ca, €493: gm.» , mlwflude Hut 4369 cut 6.9mmon how- R: m+u IR. .21. At .thR—atR {ma saw.me Vacn‘elR = guys-fungal flown-cm; mag gust-x «SIR «at: +£1.17 .fi(z.)..-=-¢x 'Mawflz. [honed M «In. {1-2, B-ut “M340. «It IR 4o?» [awoke]. .22. '4. Id: (an) am: (an) 62. +0.: «14mm deg-ad a» $0860.99: , 1n I " - .1... I— un: if??? +-§-:‘€-+ +‘ar! a in J V“: u’h (31,—4K23 KW) 36cm {hat Cum) 4:: fium‘vuius) Lveg-u.) a demema. J and“ Vnem; an 4v”. C‘o‘chEudc that «a mu ashram) , Wufivm'} wit. and... an. c.5342.- 2. amt-e. 3: Mum Pawn Hid 9" IR\®- 5950Mth: . ,3: egg. (a,&em) ,eooflzd: 11.6 (@441 ,wumtflrfig . 63 fig), .323. “Raw Hunt (rum) «may. «M4: «ML; , ammo, I +euau b arc-n [iumoréuarf’ j 11:4 0 Rea-nee M +£5qu 4.3 couwzfcha,qucwm «Jet-1 foams. . Lab {161:}: if? ,. gamma: “+1 .Frmu)sf Jt-w dt ‘5 .pc-n) . flaw 4a.: Ru. my: 4mm E: 1/hs‘ammpr Wow} than.“ o-u WMMWLQ [a,+-o)Ja>:1. . mm m 5;: 04m 'cwfme Ham Hut @3618)“ M3490 mam aha-H9 snows $250.] 25. £31: Hfi=1f%+%+...+%. mv¢,wm,m¢. V1120; Hn> "51% . OeaueJ-Cca-EELLLLHma-a—uo. 2 "' 2, n-H-uo ...
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This note was uploaded on 02/01/2011 for the course MATH 171 taught by Professor R during the Winter '09 term at Stanford.

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List 1 - Real Numbers - EXERCISES- LIST #1.. REALNuMBERs....

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