MATERI LIMIT PDF
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Summary
This document contains mathematical calculations and examples related to limits. It includes various methods for solving limit problems, including substitution, factorization, and the use of L'Hôpital's rule.
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LIMIT A LtxrtT # AtfABAF ' CWA rnrenlre\pSAi Favr goat ltwr'i : b. \rwr f,a - x -6 o I t. e ubshtuei...
LIMIT A LtxrtT # AtfABAF ' CWA rnrenlre\pSAi Favr goat ltwr'i : b. \rwr f,a - x -6 o I t. e ubshtuei t'ss (x-r7 o 1^ifu dvagtu nonlHbghtugikavr vltlai x =\nn E-r4 L^ +zs N cnuSu ton 11a*ian C X 4 c) \'e dal avn F -eg Lf;6) TNlsi gang /ttgeriRan lada toa\ (cwtit ' = \trn Xtz -- v n tara \atn 'f )5 -K:t -o o 5a\tu $ka ftrns^ta hnlil kbstifuc,i trilai x. lim 1a{a tuntx $Arq ftberilcan r;vronghtsi\to'tn F*71 fx -1 bunntt ta.b tentv (Y , n t th, atat \im ( S9,4) C rJ'K +t) t), x-r3 Utr.,./r1 t4f(.a 4{ 0\aur'\n c^(A (atD I gattv : a( Mql'AFultt{tc{'tqn \Qr,r.6thg dm Penge'b&l , \;trn (tlR+r) ,= z fg\ingga dipote[. (otvttuL -9ang Fdcrhana xsi b. Menaa(f Fan [ee-tbd[an3 &an ?Qnyet ut dorrgnt\ lttnau:avrrrya (aPabita @r/a1a1 ,. Caa {erka(ian Auqo|'!q,tcaue41n:!^ bgntu\c ahar). F€rnudtan AtkdErhaoara"r a\ \im 4-fz e. \Aenentukar,r {u-rana. pe,aa6iktt3 darr ' r4-L ?-iffi, t # o t- {e'ng+ut $e\rrngg a d,p"otet", qitai ' ltm 4-xz ! Kz+,9 g1 berter/\t\r ( Curnus 1-'f(a5 ?ilat) a K-z-z )-ilffi- r+Jffi dtgealari telib. \anpt j5, lr.rdatv, $orvr - [vn (q-x")t",+'Jfr.l) ! e\alari \lateri ttrtunavr. *-?-z g - trz +s) ttvrn !e #1 rr + d6s) Conph : F-t -t (q'e - *" ) a;b&u (+dg Can ttrtslrpg,; [m" Cxr -xL.r 1r +5) u_8 \i t' j+ JG; Frt K+ -z b, \rv (x'+t )CjK-t) -_ z9 C lu c. tcr* x} - (6x t zr{ -- L X->o Kt + 4* + \L v) \tt'a r+g L- l9 --9 o " [cv,a fi-r r[r( + g ? Cara t$Orrn6abtorat" Kr5 r-9 rji +r A. Itwr g- -- z \tv" fx -rd) x -?t x-\ x-)9 V-$ CrRtg) \tv'r ( rr/) Ltt + x +r ) \rrn L_, : I X-rtT t'49 rl^x ti G l^vn Xt+xtl = 3 r' x-rl a.-a- : :- -_ a t) cOry1q EenttrP.fa!. Tenw ! o/ t.* I -Y'z ' o trelltrh r xtl o 4 -t x"r? a) ltu 2rz+or+( i, - lir'? - 9: K?. Crl?*, X+n Kt -zK + 1.{ -?t 1- {FG. 4+ {?G Iye*t tta^, d,a^ ?"-u+"t gernua \;bagl liwr (g4 t++ W+) I ^Qt,.g^t^ 7auqUq^ terhnaai- gaifu Kt) X-u I @ **12-r'ti " lir- tn I. *. htn 4+ df X-l n r- i +Lpz t4t 8 - 2*j*i 2+b+O =L t- l- 2. +'r? (,^ UL \-oto LtMtf ffilr HtntSor a@o dan,qa^ wmo f b) t) Be'nrur TaP Pntu y, \crtc0tla h"n -)A = Z >2 V t*r l\Ya \.iVrtitv,ga 6erbeta*utt- : b) \trn €xts Ldtoaot WW t€rl'{' {d ttrn fX-) Yr ZXa + gX 9^.'fu ?(t) t-lv, bn..X- * bm-tX--t +---tbtX*bo ltvtn 8,e ( rt- = tgNr€let4iannuat ^ry \ traara \Aaltm xJ [^ &+ 2 K //rl/, ' Jika n7m..-- a) L-gc-r) - (-u) L-urr ? ttm tan rc jlC 2^ 2 -g K-/A C{eg K-rb -Lr = -A + tt _ = [trvr -l_ tan ?a: -, b K-?b tan r( I 9 c tivn 6n 9R -L X+o Ea^ x z 2 !y\el-s-I E \-i Mrr Furt6sl fFt @NoMETF| \ !g*qf V^"g d.3""a.kol at. lnt Sth F K = I at&u krn trro x x-?o 5M r b. tiw tan x a{49_, Itrn x zl X-?O l( X-2O bao x c. bvn 9th arao bL jI_ q -.--.::_L ax o K -?o b* b x-ro ?tn bx b l- hrn b^n ax -? 4 - q+qu \trn_ oL = 1 x-"0 bx b X-zo fin bx b @s C tto r -z , 6tnaYa,n CA$ laggtttvti K-) -1 LFa-X+6 Litq J xr- +rb r--r9 x Luo 3-q : U$AtcAr,r Q*ra- t*{offsasi rY.} z-x -tz x:L + (o{-qo xz-tt x -rt -Q z (atnaYan Cara ttna t -x x+r tffi, Itm {xr ^z X+ 3 x-3 fuu +-t. 6utrnFavr fufr'{rs ganO berlak-u [mrtt tnb hi Ltrn X e ta Cr->) (e-x bvn -fffir. C No g - to. Ouvratratn furnui ada [rmit tuMti tri 0910 6,tetri grrz 6x tlrn ginz ex X->o : Xz