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If ,then it is an Indeterminant Limit.p !222252222 p  HA ? ?Object 4"``    HA ? ?Object 5"`; `   fffff___PPT10e.+D=' = @B +" M yq  Y(   U  C ~10e0e0?Rectangle 2 [   q'Ex 1: Determine all Vertical Asymptotes( (7 (  0 lA ? ?0Object 3G``` (   fffff___PPT10e.+D=' = @B +" M 0(  <  C e10e0e0?Rectangle 2@   XEx 2: Evaluate 7  0  xA ?o ?0Object 3` ` (    HA ?o ?Object 3 @  fffff___PPT10e.+D=' = @B +"  @8(  8 8 C f10e0e4?Rectangle 2@`p   h1.5 pg. 88 #1  7 odds, #9  25 EOO, #29  47 odds &5 _ <*< 5 fffffy___PPT10Y+D=' = @B +M j b PJ (    b;1?Rectangle 10 @ 2  *   x`910e0e0?Rectangle 2{4   ^3.5 Limits at Infinity B  0  rA ? ?0Object 5S" R (     ~ 410e0e0?Rectangle 9"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!*drs/downrev.xmlDN0HHܨB֭Ulm6IլӬ6m@!6)e U^7Vz;R0QbgZ$*0]!e Y3ߑKENgxNrʻ,˥ƥ=Neon+#.<*%%(D' =-6B'blinds(horizontal)*<3<*%DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*&N%(D' =-6B'blinds(horizontal)*<3<*&N+8+0+ +" JM   ` (  6   x410e0e0?Rectangle 2H`K   j3.5 Limits at Infinity& <6 j   x10e0e0?Rectangle 3"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!fdrs/downrev.xmlDN@FM|͘x'[!P,A$$P`mPމz99̗iř|hU8H@-nlx}YRp3.@cKlPAcIʚ 2;9o0+=^XnZ9L4X^UM(9OUF3~]?|֚[Y:qz~F0D 8s\PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!fdrs/downrev.xmlPK\  H$  * degree of NUM = degree of DEN Limit =0  Z  Z+< +  3 A ?1?Object 4"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK! fYdrs/downrev.xmlDOMk@ &Ħ"h͡!;&l̮1AxSjiw7Y b Sm;?RI T1֡aXF]mw w%\;Y*li[Qq9ޜWӿ?yz3}AEKt[?,zPK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-! fYdrs/downrev.xmlPK  8 $D  fffff  ___PPT10 .+D ' = @B DO ' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*%(D' =-6B'blinds(horizontal)*<3<*D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<* +%(D' =-6B'blinds(horizontal)*<3<* +Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+#.<*%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*+8+0+ +" M p<(  <f <  x90e0e0?Rectangle 3"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!QRdrs/downrev.xmlDN0M|x'L ! Q0!aQ klMZhUC[K觻zNv47q ,P q?zSe 1vz|V9 )0& |PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!QRdrs/downrev.xmlPK\ |H$  ) degree of NUM < degree of DEN Limit = 0.   *< *6 <  x90e0e0?Rectangle 4{4   j3.5 Limits at Infinity& B<  fffff___PPT10~.+`D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*<%(D' =-6B'blinds(horizontal)*<3<*<D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*< *%(D' =-6B'blinds(horizontal)*<3<*< *+8+0+< +"1M #@(  @ @  xq0e0e0?Rectangle 3"PK![Content_Types].xml|N0 HC+jS8 @:Q۸ ??\o<7p]V޷O(I'6E=, ){Ō4>I)q7UuDހǏ)}nL"Mᴸ&g0eSA)΄2';2 WYu7{ɯΒzŘqFrj9K*(]mOlPK!Z,[ _rels/.relslj0 ``t_Pƈ[>,dgzjǎ?I'f#®Pb-\/Ƿ0Z]nLnp__3.iJV KQBiDžrL,Vʌ/7р4`ANar+m;E/'3U Aںv83/PK!Odrs/downrev.xmlD_O0GM5M:"pY/pmm|Ǜss~9YP-;uFFW%F 9MW̥;_(.G]ι+kR膦#X>Ҳ̒PK-![Content_Types].xmlPK-!Z,[ _rels/.relsPK-!Odrs/downrev.xmlPKP`H$  K degree of NUM > degree of DEN. Limit DNE because it increases infinitely.2  U, UL< L6 @  xq0e0e0?Rectangle 4{4   j3.5 Limits at Infinity& B<  fffff___PPT10~.+3D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*@ %(D' =-6B'blinds(horizontal)*<3<*@ D' =%(D' =%(DT' =A@BBB B0B%(D' =1:Bvisible*o3>+#.<*@!L%(D' =-6B'blinds(horizontal)*<3<*@!L+8+0+@ +"mM `X@(  <  C @q0e0e0?Rectangle 2@   XEx 1: Evaluate 7  0 lA  ? ?0Object 3p`` (   fffff___PPT10e.+D=' = @B +" M& D(  D D s ` 0e0e0?Rectangle 2PP   IEx 2: Identify the infinite limits, limits at infinity, & asymptotesJ J0 J D L!?Text Box 3 P  g *see graph.  C2   fffff___PPT10e.+D=' = @B +" M&  (     C "0e0e0?Rectangle 2   LEx 3: Find the VA s & HA s of f(x).X' !11111 '  0 lA  ? ?0Object 3% (   fffff___PPT10e.+D=' = @B +" mM& `X$@(  $< $ C  0e0e0?Rectangle 2@   XEx 4: Evaluate 7  $0 lA  ? ?0Object 3@r (   fffff___PPT10e.+D=' = @B +" mM& `X(@(  (< ( C @%0e0e0?Rectangle 2@   XEx 5: Evaluate 7  (0 lA  ? ?0Object 30r (   fffff___PPT10e.+D=' = @B +" M& ,j(  ,f , C &0e0e0?Rectangle 2 p   8Ex 6: Sketch the graph by finding intercepts and limits:9 92 9 ,0 lA  ? ?0Object 30 (   fffff___PPT10e.+D=' = @B +" #& &H(  H H C '0e0e4?Rectangle 2@    3.5 pg. 205 #3  8 all, #9, 13, 15, 17, 19, #21  33 EOO, #35, 37, 41, 45 &L _ <@< L fffffy___PPT10Y+D=' = @B +xXMHTQ>>D,FT" 25*D~hqƟQP0hc٪EE aK4Բ̙ν<Ʀވ g8{߹7/'J V1dnTDXEs6bJ?/ؠ JI噙79,Ei%_/r3D޽/xlg1S6 =O*p#oC> 5hGTF_C"̜Dd'9w-)~l웘okY] '߅@1MJzS<~[ev Z߸p b"> ""!E^@WcʣTI -5 vtoe1EUZ@ku! jfLڜ8It<.-es +ȗo^tyN}XQ6U OrgaEQ,edj@حxH)<Kwo۷sŘ8({ϖj0ޗgyHpY$PsWx0[N6]AeO7]8v2L5[#^6$?J$-~ognHx;u䶰]Fzס@8=hzBoOtv/ZPn;lڴ4Eݹ,WJz~},j=V?_8pJ~J_Kdx$q^:0,$85A.ȯtnCQ:]8婶feTRP6&Qʅ]jj}I"q_R P k!a7co '@g/Sӄ_ ~'A8KpoظzfC.u@6%mvxXMLA~3BT( B8 F1& B VGhz#5Of<1(G4j@3e.?+$>5;Tn4ĕ(2)Fqs_J7lE)_]?w: cg3@g,@r5r +u]>/J+v4@pQUeQL[#8|^"PvGwې۱J'wMcR6#|ذP ;FYY2rT!JQUy88]T@̙kXZAuUB`:wf>e\9xұDXφ}?gk"4fqu4-Ku>&[I'hOɍ\_§5G`%2l @z,g}X(^.m`҆;D%BQYXQHlD@]Xչ||"G\ *ݜ4tS+i?ﶛFykf^7PXv {qUāx^VE0[T8ärB 9m0k({ݡ}t"|PJO}]~DBg8lX_Z#kxMKTQfti:>%E\<]ɐ FMP*d3d>ىR"ZrQqBvRj49ݧÛ&߄ Ss=|{>ޝ [W[@l Uy} [-\\ ~"f[  A)!q|Bڞ '1 s&pS(UQC9?ߛb?w~e*pwQMp} C¥*pVMML0U| S j5aH_CU|:]l[FZ@XX 9aqAIs:zS>?~;tG ,~t@92g+@9bb=+4]m@[|F3t[D[aLQUf(hKb iOڵL|@2Dv"vactgZ$m1&q`M1$*m%OreVaq#BzXٟW |Ze$O^ǔX#`(59t)dqwvGؼs c(zukcKo!D}W$CafLUǸuש7cb߾r4ѻܴ |ڃ&0RMFlyLpP#N>EtR&uxLV ڤ̢RFѕìR8"w(_;d"3s=~Q.`^~L6`yi xXMLQv   H&bE(/&B@x! rҋ'hbތ1xo#1Q/[g޾KERL;f,(]P2pHP`cHJlr,JhHAJm#)FlcQ $2K<+{YE73?\IڒC7<O)>Ơ !ihYB*Cq? #hG? ߅ʞ24|b$>Q)WOƽhB6_渿<`J邥tcϳW.L~ozsT>N"H;A@)P 횑?qXC@T ^aL4"⚞kꐙieV06Sz f϶eYGsz3U2; G a$+ouj1KwqF5J9L+j"~_A1TɞK}$7O3A?>؛r,t;aU=80rhV\pf}gpk`zN6k)aomoځ1qoL^tD]o\ ~r>/ĕ!WmJ/@EzC@ L{a$ \ ꊝhMG֥ܖ/,}_ܠ^w.V16h3Y_3u};^ߒ!Oc|^Q/eA`oZ$LfydkK" MF&A<%<8%b@V.,{aNlO> =GL8&>ݣ:CƢh0h$Z _zL$!4F(3K,7xxXMHTQ><'-EFE*j-ԅ1z2?@Jjۢv@`.Z$ZDVVAբιi|Fqsι][h6 2Y1$n12՗fԥ!eK(*A&J5B$!1=l}9Yq8) տ(f;67B,s=GfTSdp /RXOQ} H}jUEVm쿀O> hs4(^km=7Zo +Aj /071bzwQTу99`;wŬ8@i. 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