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Limits (Intuitive Approach)

Limits (Intuitive Approach) - “HITS J'NTUITJUE BPPROHCH...

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Unformatted text preview: “HITS .' J'NTUITJUE BPPROHCH m -v-n~------.-g¢-fid-C-d-C‘dfi’ddiU wI—wr-a' sonE THINGS TD Nance ; - Fu) =3 . HowEUER, was» x :5 CLOSE To (Bur mo: scum. T0 ) 1, Fax) IS CLOSE TO H. ' - :THE CLOSER X IS TO I (BUT STILL NOT EOUHLTD I), THE 0.1.0551? Put) :5 To It ' I Put) emu BE nnDE as cnose as You LIKE 70 If JUST BY cnoosws x cwse Evovcu T0 (Bur ~01 Baum. T0 ) l_ " THE arm'- as x npmoncues l 0F Put) :5 H. .\ II [In pun-=9! 1"”! | I I I I a l o i l l I I I I I I I l 3 G l - FL-3) % 3 -_ was»; l5 nos-E T0 mar ~07 scum. 1'0) -3, Pa) :5 came To 3. - 'ch) can: 86 naps as cwse as ya.) we To 3 3y enema“ x SUFFICIENTLY moss To c Bur ~01 Baum. T0) —3_ ' THE mm as X nPPRoncnss -3 OF 9.x) Is 3 ' " lm Fun-1 3 .. 1-9-3 .. Im PDQ: Flu-3) 3-3-3 ' u . ' l GREPH 0F 5: y; Put) 3 o i , , . a. I I | i —~m—~———~»—-———-—~—- ———---———— l , i { I -6 .5- IIH '3 an: I. I a ? q 5 6 out : .1 :‘ i -3 :1. If [x 'q H ‘ PM) 15 mar DEFINED, sur NEvERT'HELESS 'f lm PM) =— -l x-w '- Ft's) :5 ~07 oenmso mm was Is No manna? 11m Fax) :5 CLOSE To wire-n) x is CLOSE 72> 3 I .. lm Pm) Does NOT EXIST ' X-b3 ' 9(2) = I, BUT msvsnmasss THERE :5 mo (swam) Nunssn mar Put) IS CLOSE TD win-w x :s CLOSE r0 .2 " Im Pu) Does MDTEXIST ' ‘x—v-z '1 afimERflL DEmeoms : LET Put) BE 9 FUNCTION BNO a. 9 Ram. MJflBER L "mar any on may NOT BE m 1115 Donaw 0F P 3. we say mm 135 Lmrrgg x nppnoacnssq. 2;: Pa) 35 L, meTEIO hn page.) .-. L, 1-54 :F Pm) can: :35 mos ansnrmmy cLose T0 L 87 cnaosmc x SUFFICJENTLy cLosE TD ( BUT NOT Baum. To )q . ' IF NO sucu anBER 5x313, men: we: say m7 lm Fun boss :33;- emr a one )_ ‘IKWDA . --....-__---- -....--..-....I I I ‘. m-.---.-.- “we" "1.-.”.- ~----- TO 551 Pm 1m; cLosa‘ To L J choose x 11m Cl-ME To a, what) -mn«ma.‘....u.._.._m.... ._ ..._...,--_.._..- t Bu? mar scum. To a. ) WE WILL STfiRT CDDPUTING EXfiDPLES NEXT ”DE, BUT HERE HE’E a Few "oawaus" Exnnmas: 1, hr: 5x = 15‘ L 5x mamas naos as most? 7‘" 3 as you LIKE 1v :5 13)! cuwsmc at mass Samoa» To 3 ) I . .2. 1m x“ DOES mar EXIST y ' '1‘» O x , 3. lm 1—1- 0055 NOT EXIST x 1-» a A FEW name 7713.55 0F Lmrrs -' . I I: . ; GRHPH 0F 5 y: FL!) 3 a E 1 i a. . 1 ’. ,- - W W . : l I 1 “X .1 -5 .5" _~‘f -3 .g -1 I a 3 5' 6 '7 -, g .1' g -3 :l' .q ‘ O E-SIDED LlfllTS : 552.? 351-0“) ‘ 1'” PU” = 9. L Pu) can: BE mans ansnmamy- mass 11: -2 3y cumsws x. . SUFFICIENT” CLOSE To) M £25? The» .‘L ) maaove : lm Fun .2- I L Put) CM, as none HRBJTRHRILy 1—H." mass To I 3y ChaDSING x SvFFICIENTLy mass 70, fig? GREBTFR man) .1 ) u —---—---—--——n-— ‘ i I l at l | I a I. n.2, i I 1 I I I -3 I: I I. f. .q " l m Pu) Doc—s nor exasr 15-»3' Inn ch3_ Does NOT 5x151 w-+3* To DESCRIBE DORE EXPLICITL)’ rat nawmen m wmcn mess Linn-5 Hm. TD EXIST we mu. me'E Inn PLX) I= °° 2-» 3‘ 3ND lm fix) = —°°: 1403+ NOTE "MT 7715 SORT 0F 71mm WPPENS er 3 usrmcm asynprons, ' 1m Fax) = l c Pm can: as none nammsmw close TD 1 xa-w ' 3y cflwsws ix! surnaémny 1.19868 wJTH X NEGHTWE ) Nam mar 17m wmcsnss a Mmzommz. ASZDPTDTE HT Hiram I, ' ' lm 94.x) was No? 5x157. noes expucmyl x—vvco [In Pix) == 5-" x—aw ...
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