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Tj 1 0 0 1 451.20 357.36 Tm <3C20> Tj 1 0 0 1 460.56 355.68 Tm <622C20> Tj 1 0 0 1 475.44 355.68 Tm <7468656E2C> Tj 0.48 Tc /F3 4.0 Tf 1 0 0 1 167.76 339.12 Tm <223B2720> Tj 1 0 0 1 224.88 344.40 Tm <746C3D6C> Tj 1.50 Tc /F3 10.0 Tf 1 0 0 1 151.68 322.80 Tm <696620> Tj 1 0 0 1 166.32 322.80 Tm <7420> Tj 1 0 0 1 201.12 327.12 Tm <277C2720> Tj 1 0 0 1 241.68 327.12 Tm <277220> Tj 1 0 0 1 269.76 325.68 Tm <5C2D4C20> Tj 1 0 0 1 300.48 325.68 Tm <293A27> Tj 0.96 Tc 1 0 0 1 151.68 321.60 Tm <2E2E20> Tj 1 0 0 1 166.32 317.04 Tm <2F5F2F632F2C5F20> Tj 1 0 0 1 197.52 321.60 Tm <646C76657267657320> Tj 1 0 0 1 241.20 321.36 Tm <6C6E636E20> Tj 1 0 0 1 269.52 317.04 Tm <6C4C20> Tj 1 0 0 1 283.68 321.84 Tm <6E692C20> Tj 1 0 0 1 299.76 321.60 Tm <646C7663726765732E> Tj 0.72 Tc /F3 6.0 Tf 1 0 0 1 167.04 305.04 Tm <223B7420> Tj 1 0 0 1 270.48 310.32 Tm <72722D6C> Tj 1.20 Tc /F3 11.0 Tf 1 0 0 1 151.68 287.28 Tm <696920> Tj 1 0 0 1 166.32 284.64 Tm <4C622C2C20> Tj 1 0 0 1 196.56 287.28 Tm <636F6E76657267657320> Tj 1 0 0 1 248.40 287.28 Tm <7468656E20> Tj 1 0 0 1 273.60 282.72 Tm <6C722C2C20> Tj 1 0 0 1 301.92 287.28 Tm <636F6E7665726765732E> Tj 1.50 Tc 1 0 0 1 166.32 276.00 Tm <612720> Tj 1 0 0 1 274.56 276.00 Tm <6E3D6C> Tj 0.72 Tc 1 0 0 1 151.92 248.64 Tm <55736566756C20> Tj 1 0 0 1 186.24 248.64 Tm <696620> Tj 1 0 0 1 196.56 248.64 Tm <74686520> Tj 1 0 0 1 214.32 248.64 Tm <73657269657320> Tj 1 0 0 1 244.32 248.64 Tm <68617320> Tj 1 0 0 1 263.52 248.64 Tm <6120> Tj 1 0 0 1 272.16 248.64 Tm <666F726D20> Tj 1 0 0 1 298.32 248.64 Tm <73696D696C617220> Tj 1 0 0 1 334.32 248.64 Tm <746F20> Tj 1 0 0 1 346.56 248.64 Tm <74686520> Tj 1 0 0 1 364.56 249.12 Tm <67656F6D657472696320> Tj 1 0 0 1 415.44 248.64 Tm <6F7220> Tj 1 0 0 1 428.16 249.12 Tm <702D7365726965732E> Tj 0.96 Tc 1 0 0 1 78.96 193.20 Tm <362E20> Tj 1 0 0 1 94.08 193.44 Tm <54686520> Tj 1 0 0 1 117.12 193.20 Tm <4C696D697420> Tj 1 0 0 1 149.04 193.20 Tm <436F6D70617269736F6E20> Tj 1 0 0 1 215.28 193.20 Tm <546573743A> Tj 1.50 Tc /F3 3.0 Tf 1 0 0 1 170.64 182.88 Tm <3640> Tj 0.96 Tc /F3 7.0 Tf 1 0 0 1 151.92 172.08 Tm <6C6620> Tj 1 0 0 1 167.04 174.96 Tm <5C6920> Tj 1 0 0 1 206.40 175.20 Tm <2D20> Tj 1 0 0 1 211.20 175.20 Tm <4920> Tj 1 0 0 1 223.44 175.20 Tm <5C2D20> Tj 1 0 0 1 239.04 175.20 Tm <4920> Tj 1 0 0 1 254.88 175.20 Tm <2D20> Tj 1 0 0 1 264.48 175.20 Tm <2D20> Tj 1 0 0 1 271.44 172.08 Tm <73657269657120> Tj 1 0 0 1 301.92 172.08 Tm <2A7269746820> Tj 1 0 0 1 325.92 172.08 Tm <74686520> Tj 1 0 0 1 343.92 172.08 Tm <6E6E7169742720> Tj 1 0 0 1 455.28 178.08 Tm <6127> Tj 1.20 Tc /F3 11.0 Tf 1 0 0 1 151.92 170.40 Tm <2C2C20> Tj 1 0 0 1 167.28 165.60 Tm <4C612C20> Tj 1 0 0 1 199.44 170.16 Tm <616E6420> Tj 1 0 0 1 223.44 165.36 Tm <2F622C20> Tj 1 0 0 1 254.64 170.16 Tm <61726520> Tj 1 0 0 1 271.44 170.16 Tm <73657269657320> Tj 1 0 0 1 301.92 170.16 Tm <7769746820> Tj 1 0 0 1 325.92 170.16 Tm <74686520> Tj 1 0 0 1 343.92 170.40 Tm <706F73697469766520> Tj 1 0 0 1 384.72 169.92 Tm <7465726D7320> Tj 1 0 0 1 414.48 169.92 Tm <616E6420> Tj 1 0 0 1 436.56 170.16 Tm <6C726D20> Tj 1 0 0 1 454.32 162.48 Tm <6620> Tj 1 0 0 1 471.36 171.60 Tm <3D2C20> Tj 1 0 0 1 489.12 169.20 Tm <2E> Tj 0.96 Tc /F3 5.0 Tf 1 0 0 1 455.76 157.68 Tm <227474> Tj 0.48 Tc /F3 11.0 Tf 1 0 0 1 151.20 144.24 Tm <2A682E3B20> Tj 1 0 0 1 183.60 144.00 Tm <2E20> Tj 1 0 0 1 192.24 144.24 Tm <692C20> Tj 1 0 0 1 203.04 144.00 Tm <7520> Tj 1 0 0 1 211.44 144.00 Tm <6E6E69746C20> Tj 1 0 0 1 239.52 144.00 Tm <6E756D62657220> Tj 1 0 0 1 279.36 144.00 Tm <616E6420> Tj 1 0 0 1 301.44 143.76 Tm <6320> Tj 1 0 0 1 309.84 144.00 Tm <3E20> Tj 1 0 0 1 319.68 143.76 Tm <3020> Tj 1 0 0 1 328.08 142.08 Tm <2C20> Tj 1 0 0 1 336.48 143.76 Tm <7468656E20> Tj 1 0 0 1 360.24 143.76 Tm <65697468657220> Tj 1 0 0 1 390.48 143.76 Tm <626F746820> Tj 1 0 0 1 415.20 143.76 Tm <73657269657320> Tj 1 0 0 1 445.44 143.76 Tm <636F6E766572676520> Tj 1 0 0 1 492.24 143.52 Tm <6F72> Tj 0.72 Tc 1 0 0 1 151.20 130.08 Tm <626F746820> Tj 1 0 0 1 175.68 130.08 Tm <646976657271652E> Tj 0.72 Tc 1 0 0 1 151.44 102.48 Tm <55736566756C20> Tj 1 0 0 1 186.72 102.24 Tm <696620> Tj 1 0 0 1 196.56 102.24 Tm <74686520> Tj 1 0 0 1 214.80 102.24 Tm <73657269657320> Tj 1 0 0 1 244.80 102.24 Tm <68617320> Tj 1 0 0 1 263.76 102.00 Tm <6120> Tj 1 0 0 1 272.16 102.24 Tm <666F726D20> Tj 1 0 0 1 298.56 102.00 Tm <73696D696C617220> Tj 1 0 0 1 334.56 102.00 Tm <746F20> Tj 1 0 0 1 346.80 102.00 Tm <74686520> Tj 1 0 0 1 364.80 102.48 Tm <67656F6D657472696320> Tj 1 0 0 1 415.68 101.76 Tm <6F7220> Tj 1 0 0 1 428.64 102.24 Tm <702D7365726965732E> Tj ET endstream endobj 4 0 obj 9165 endobj 5 0 obj << /Type /Font /Subtype /Type1 /BaseFont /Helvetica /Encoding /WinAnsiEncoding >> endobj 6 0 obj << /Length 7 0 R >> stream Math 181 Chris McDonaldSERIESLr..r1v c;^,\v-iv-<-\1. Geometric:S -,.,-r ^- + ---, aL -r "-' or Lor'' . converges to ;1 il lrl < ln=l il-n L- |2. Harmonic:@lt - diverges:/-/,^tt=l /lUseful when using the Comparison or Limit Comparison Tests.3. P-Series:i _^^:f/ ; convergesif p>1, divergesif p 0 , then either both series converge orboth diverqe.Useful if the series has a form similar to the geometric or p-series. endstream endobj 7 0 obj 988 endobj 8 0 obj << /Length 27 >> stream % CANON_PFINF_TYPE0_TEXTON endstream endobj 9 0 obj << /Length 44 >> stream q 612.24 0 0 791.76 0.00 0.00 cm /Obj2 Do Q endstream endobj 10 0 obj << /Type /Page /MediaBox [ 0 0 612.24 791.76 ] /Parent 11 0 R /Resources << /Font << /F3 5 0 R >> /XObject << /Obj2 2 0 R >> /Subtype 6 0 R /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] >> /Contents [ 8 0 R 9 0 R 3 0 R ] >> endobj 13 0 obj << /Type /XObject /Subtype /Image /Width 2551 /Height 3299 /BitsPerComponent 1 /ColorSpace /DeviceGray /Filter /CCITTFaxDecode /DecodeParms << /K -1 /Columns 2551 >> /Length 17676 >> stream ځ"0C"#LnAA2 "~;ڒO/}XrJZ-¯UZzo 1HA(EA!A [#ЃB S`B@ad!yF\7WM]$hݦ4<&N^m8hpwdV-\23غ6Mn2)"ȑV_]m_J_  [Qtuotǥ]Bu cc[Ҽ?t= #Duo_/F Ipa_orVw_/b :WF}+A: Tm/uo W0_J0V׿ij ~ ueC"qW4ti M8piSjIu^V $[ ; &S 5lDDDDA`DZV* Y9twv Z2Ҳh!8Ol?m,& aqv";$gkY-"_- )Ij;X AAAS+C;0Xa$o!2Yc 4mB] $ =/a){$Z ҴJ޿v)mT+^Ҳ *tW*u@kk%u]~ DQ'XpS3QljyPFs RyFxλORaȎiiVL&i醕0!? &b9ti M6JiCf+a 4h89SXb&""BB?ia`B""jNS !XxER&=8zt&zI'm_vV JؕҸNW_tkz}Wf09;ca?_G?BXЊ_0ea|_L>_0m} _ mom/ _5d5ZH}+bio{߅k kMӃ**IE7Ir UG &ZV i&iSAAj( b 頃aaJGDk60ab280ZtGOWbC ?PITܱC-"*6AM:;g$ FV(a57& @*Z^Dl1pwoyf(4AUjmF[4A_ߕD vj!+ϫ 'al$ێ@moH9^;W]__os ߮]߮߭_^w~~IߜgVFHllIKLGTs("kDtiO!E.N:G !47 8a"!`sA@zf,2qA|) PDfaz˰Ba"X(C0ƋX6 &I8`Vl*7v4l'ow.4HmAmaEnB B7h(F?j m AI l*-[F‡:Og m&pЯvqoJjħF^ :Nm,:t|~pǰI6 JݴSVwKobW6%GJL{7n'i-nr${JBoZޗ?]}Ow_u^}/zmֽzobb^Ckһ֯`Wب_3*{>^ | _=mc5ז[Cv_nkHv_WkۤXq~?^__ {}֫[K·_/m.VI)⛶WnJ}!{d4H]{kz;u _.O٢ц3E]Vf(] K\?n}kZZ_u^i]k]]za/m&]&Um[M/E+4^_dAU{uڰzL0#'k Za,KOc&i-&]TҺt8!+N,wi[i>Qba-'NMOvr Q&]M%i AH'";iL4M 4mC  L "BKbB 1 :h @x1 jsS٬a a9( kaBm n!4NL(Ah7`B&a36a5P§@"""""""8"8aN":}qKkHt-ڤw괈"IvztKJU.6%i~ 1: %IQ֒VP6Eњ6kUQGY-%w&~Z@wͿO8l~~}g5_>uZ"#ɹU ɸӞ0oN\.Qb}[޻0G}[JRPZl/anwa-s Z 7O6)GIKm&OvM{aN҉Nґji6EK dtM'+ҫ"8wm0OW{K /ȣij[ &M0a & 6;I-&*  pMI +i|0f ZjᴚL&L$h:aBjKlBiALS& @J+&)0h4L&jA“&aaD4 b CΈI&DDDDDDDDq`D<DDD\DDDDE&#A_ZV؛_IJMWpAGTn!]vP`j%JAA#}iAaDܖ& ?QHh?~"?M!bfu 2 VB&DE…a30ToI8Ul.ժn+ڎ+8f4CH2!0O0p4 "aSi7Iaӆ Ĩi_IX}[Wkӫ[_==!ׯWWcV4.Mq I?3拵s 賂 ]r^}6Dh".{}0צּ^Ul a74}̃AÕd3-WnJa+7aDDDDDDz7 a{JV/ ?׍m}^ CJu_C_CM5ki]|wi_y;~5$#_j < wK 0Ҵ_m.zv^U =oa%Xa[a$ҽ- Z tVivmLWH0:6`oͯ*ҫ i1MtlHCIN;Ib6~-ȸXڴI&*6a$i8mAT0l*a4+4MS4IIIa0UL& 4=0C 0La4M7i aJq05iQ`tDDDDDk"ƟZ/UI/ԥ R%U %IuUK/I(a__PQeMz:n\4xy~a$M98.}wcDDDGׄ2 @N;{ #X 6T{npAqON< #h0R(~֘Am$AGi6MACT T* A>4i&ޝnۥJw%JM{7[MzzקK@ߺݾM+Mu߷__n~[l}SaCVǦz:__al}CPjUaT#mU6=T?a_ao[_{~^/߆ߵAQ or}^J_4W_iwOǒCAЏjm?g_ݴ7$-+/B m zS;ںMKUᄛavӿ)=t "l] X`VvZaaAibNVk /MjبP] ۱Va4„M0T⓶jM ᄂ h1 aT'V%==چM0BAaPM& q 2B 2`W (ED):`!g5B"BEhDDDDB1zV ፈPd` 1[@wק0w*7Y\ qÖhaDJ rRl!لx 0BR l*MO`ZN/;-E-Z݅O!ʅlT|HZUUkz}vkuG; fHF5g F!fE K"vaGMQ*FȌ%#&0Bp3 <Fs``&sQL2@DS{4A! 60A" "9BaB h;A& l6 $ڄX?#4.Fer~0F="0aL`aA0T„@UPnI6ioI%cIAޟ2> PaCm ФII7jIl:@bV5onޓl'nJ<#[It f& +bTmҷzq߿oQ }Jo}~߽n'ۦWuit?5_I7׺;?~~z>_?cߏױխ.=o<®/|0xA??`_Fg <%W_i??7aU ^/ ?ᇥ_Ovޗo~ _zIu֔y n'K}w$/$/K(]kמw}zmnׯ_>vKizpN`vu}OIi)n+cn[!"]եJTՆ۫2 +׽m&i0XMpi[J+l#NVGZa#86*EV6=;IIka"AOba0M0 &*;bV*M0IH6h aSh0r  XDDDDG %i4l(H0T (l&h1Aa Ah[KB""2%X&f&[V Hͱ"""":)__:?M$]>2d#fɰ8&(䬉波,3ah<(ZVBߵ=;_5rqNA`. 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