C\303\241lculo II Li\303\247\303\243o 19: Testes de Converg\303\252ncia para S\303\251ries Infinitas
J\303\241 estudamos o significado da converg\303\252ncia de uma s\303\251rie infinita LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2Ji1JK211bmRlcm92ZXJHRiQ2Jy1JI21vR0YkNi9RJiZTdW07RicvJStmb3JlZ3JvdW5kR1EuWzE0NCwxNDQsMTQ0XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy9JK21zZW1hbnRpY3NHRiRRJmluZXJ0RicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkMvJSlzdHJldGNoeUdRJXRydWVGJy8lKnN5bW1ldHJpY0dGQy8lKGxhcmdlb3BHRkgvJS5tb3ZhYmxlbGltaXRzR0ZILyUnYWNjZW50R0ZDLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2JS1GLDYlUSJuRicvJSdpdGFsaWNHRkgvRjxRJ2l0YWxpY0YnLUY1Ni1RIj1GJ0Y7RkFGRC9GR0ZDRkkvRkxGQy9GTkZDRk8vRlJRLDAuMjc3Nzc3OGVtRicvRlVGYW8tSSNtbkdGJDYkUSIxRidGOy1GLDYlUSgmaW5maW47RicvRmduRkNGO0ZPLyUsYWNjZW50dW5kZXJHRkNGKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EkNS4wRicvJSZkZXB0aEdGYnAvJSpsaW5lYnJlYWtHUSVhdXRvRictRiw2JVEkYV9uRidGZm5GaG5GKw== , com soma s . (\303\211 aconselh\303\241vel rever esta defini\303\247\303\243o.) Lamentavelmente, tal defini\303\247\303\243o s\303\263 aplica-se diretamente a poucas s\303\251ries, sendo que a mais importante \303\251 a S\303\251rie Geom\303\251trica 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 . Nesta mesma se\303\247\303\243o, mostrou-se que, se 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 converge, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSRhX25GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUScmcmFycjtGJy9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUS1JI21uR0YkNiRRIjBGJ0Y+Ris= . O inverso desta afirmativa \303\251 falso: se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSRhX25GJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUScmcmFycjtGJy9GOFEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkIvJSlzdHJldGNoeUdGQi8lKnN5bW1ldHJpY0dGQi8lKGxhcmdlb3BHRkIvJS5tb3ZhYmxlbGltaXRzR0ZCLyUnYWNjZW50R0ZCLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUS1JI21uR0YkNiRRIjBGJ0Y+Ris= , n\303\243o significa que 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 converge! (Um dos exemplos estudados demonstra este fato.) Em resumo, 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 converge se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEkYV9uRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0Yn tende a 0 "suficientemente r\303\241pido". N\303\243o \303\251 poss\303\255vel apresentar o significado exato de "suficientemente r\303\241pido". Por\303\251m, veremos que
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 diverge, enquanto
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 converge para qualquer n\303\272mero positivo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEqJmVwc2lsb247RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw== (a s\303\251rie p ). Tem-se que 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 n\303\243o converge suficientemente r\303\241pido. (Situa\303\247\303\243o similar acontece com integrais impr\303\263prias.) Estudaremos em seguida alguns testes b\303\241sicos que podem ser usados para determinar se uma s\303\251rie converge ou diverge.
___________________________________________________________________________________ A. O Teste da Integral & a S\303\251rie P ___________________________________________________________________________________ Em muitos casos as s\303\251ries encontram-se altamente relacionadas \303\240s integrais. Neste casos, a integral converge ou diverge se e somente se a soma da s\303\251rie correspondente converge ou diverge. Este resultado \303\251 chamado de teste da Integral. Lembramos que uma sequ\303\252ncia \303\251 uma fun\303\247\303\243o definida no dom\303\255nio dos n\303\272meros naturais. Sempre que \303\251 poss\303\255vel definir a mesma fun\303\247\303\243o para todos os n\303\272meros reais positivos, sendo esta fun\303\247\303\243o integr\303\241vel, ent\303\243o o teste da integral pode ser aplicado. Tomemos um exemplo. Apresentamos a seguir uma fun\303\247\303\243o, a sequ\303\252ncia que esta define e os gr\303\241ficos da sequ\303\252ncia e da fun\303\247\303\243o.
f := x -> 1/x^(3/2);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJmR0YoZio2I0kieEdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiQ5JCMhIiQiIiNGKEYoRig3I0Yu
seq( evalf( f(k)), k = 1..12);
Ni4kIiIiIiIhJCIrMFJgTk4hIzUkIispKjNdQz5GKCQiKysrK103RigkIiszPkZXKikhIzYkIit3IlFUIW9GLyQiK3RDXCpSJkYvJCIrJFE8JT5XRi8kIisuUHEuUEYvJCIrZ3dGaUpGLyQiK0JBLFRGRi8kIitAaGkwQ0Yv
plot( [f(x), f( floor(x)), f(floor(x+1))], x = 1..12, thickness = [4,2,2], color = [blue, coral, red]);
6,-%'CURVESG6%7dw7$$"#5!""$"#5!""7$$"2=Qw_lLy0"!#;$"1fp#>EO7>*!#;7$$"2t[(\4W:36!#;$"1)e!3CQMs&)!#;7$$"2E^-0OXZ;"!#;$"1L'R0@W_&z!#;7$$"2nKlIV6<A"!#;$"0C*z"yu`S(!#:7$$"2f9Hev1%y7!#;$"1#\y:f_#=p!#;7$$"2&)oPvdq4L"!#;$"16zU=P\7l!#;7$$"2u],.P(R&Q"!#;$"14A,vF^Kh!#;7$$"23=Osj&oT9!#;$"1dN/)e!*ox&!#;7$$"2Z#\)pQ$z(\"!#;$"1'RTU%RMba!#;7$$"2Kg?T52bb"!#;$"1-2&exkX:&!#;7$$"2'Rzex8M1;!#;$"0NJH!*G="\!#:7$$"1OsWH(oNm"!#:$"1$\c%3$o0m%!#;7$$"2xb6B1J5s"!#;$"1l()f'z9"HW!#;7$$"2%)oPvm1kx"!#;$"1-#3FFNOA%!#;7$$"1/3;AIpE=!#:$"2NnPhzM/0%!#<7$$"2./3;O)[')=!#;$"1dSG@7RfQ!#;7$$"2sV([dG9P>!#;$"1y"yA"f+4P!#;7$$"117Cyg1'*>!#:$"1s))*y*4*fa$!#;7$$"1>Qw7JA[?!#:$"1#ernZ69T$!#;7$$"2CS!3YwW0@!#;$"20^jMI"GtK!#<7$$"2d5@U$*Q*f@!#;$"2O``%ev>]J!#<7$$"1AW)o([z;A!#:$"1<dFyWyHI!#;7$$"1pPv!Q1!pA!#:$"2.!)3+07e#H!#<7$$"2-.17aB`K#!#;$"2Xi@7fn,#G!#<7$$"2<LmKC@QQ#!#;$"2m[jf&*)*pr#!#<7$$"2<Pu[mVZV#!#;$"1*)o)oc2Aj#!#;7$$"1#Qw_FT(*[#!#:$"1"p4U.uaa#!#;7$$"2(3<M)=fla#!#;$"2(pq=\/wgC!#<7$$"2kGd9VW@g#!#;$"1")*37RNBQ#!#;7$$"1e:J7g#fl#!#:$"1yZ#fwS.J#!#;7$$"2&3<M)GTcr#!#;$"2&\1v%ycXB#!#<7$$"2[**)z>")HpF!#;$"2jrH#\&G*p@!#<7$$"105?S#)eEG!#:$"1h&yT%GH/@!#;7$$"2lNrUg,&yG!#;$"2&pGo`ViZ?!#<7$$"1$e;Lic_$H!#:$"2s7O(>U_))>!#<7$$"2.3;Kne'))H!#;$"10%)R$*eYN>!#;7$$"2<JiC?zW/$!#;$"1AqC%[![#)=!#;7$$"2;KkG(R0*4$!#;$"11GFQR(H$=!#;7$$"2Ou[(*p)=cJ!#;$"1eK%4"zU$y"!#;7$$"14=OKi@6K!#:$"2#o(e)>NyP<!#<7$$"128EK)*[nK!#:$"2mY?f\%3$p"!#<7$$"2)3<MeuHBL!#;$"11z6![;1l"!#;7$$"1pPvq)yXP$!#:$"2jm96nMJh"!#<7$$"2AT#[cJNLM!#;$"1MUJ![!*=d"!#;7$$"2xX"Hy:#f[$!#;$"2<!R$p@ok`"!#<7$$"2mD^-[q>a$!#;$"23g(fsF9+:!#<7$$"1Gb5Jkh&f$!#:$"27Lf*>bpm9!#<7$$"1JhAlL=bO!#:$"2y9J6%)))4V"!#<7$$"1$e;L&Rw1P!#:$"2`!yt;TA,9!#<7$$"2W!3;#Q3`w$!#;$"2u0)RS8no8!#<7$$"1PtYt_m=Q!#:$"2k2h;#e3S8!#<7$$"0$f=F$Hq(Q!#9$"1&)[8+*R*48!#;7$$"2nPv]j(QFR!#;$"1N*\64E[G"!#;7$$"1Rxap)RZ)R!#:$"2_F!o]u=d7!#<7$$"1<Mo'HR,/%!#:$"23`:F)zTJ7!#<7$$"1oNrKD]&4%!#:$"2)fdQ"*H`17!#<7$$"1NpQ(4i1:%!#:$"2X%*f?.iD="!#<7$$"1=NqqJl.U!#:$"1[h7h;Fg6!#;7$$"13;KCz$4E%!#:$"2RpO]:_p8"!#<7$$"1b4>[W`:V!#:$"2f"\i!*[W:6!#<7$$"1oMp=Z*HP%!#:$"1m8S(=KN4"!#;7$$"13:I+,,DW!#:$"2`W'H#[2V2"!#<7$$"0'=PMo\#[%!#9$"2&zY'zN2P0"!#<7$$"1b4>3"fv`%!#:$"2`THR!feM5!#<7$$"1tW*)et[#f%!#:$"09QPL!3;5!#:7$$"1U#['H,')\Y!#:$"1">_mYHL(**!#<7$$"/*zfa-Fq%!#8$"0'R74Iq0)*!#;7$$"16AW3/#ov%!#:$"1xVLJ@%)Q'*!#<7$$"1v\**eHd;[!#:$"0.!y;f.g%*!#;7$$"1zf>**Rnq[!#:$"1^%)p.$eGI*!#<7$$"17C[YC+E\!#:$"1V\3YecY"*!#<7$$"1c5@_+F#)\!#:$"1(pe65e?**)!#<7$$"1Jg?J4*R.&!#:$"1w3$\iLQ&))!#<7$$"1NoO8P7*3&!#:$"1$olihZ.r)!#<7$$"1Jg?@o$Q9&!#:$"1GX!3mW<d)!#<7$$"1$\)pRGO-_!#:$"0iRMW0vU)!#;7$$"1#Ryc^4SD&!#:$"1lSJC$[NI)!#<7$$"0'>Re!*f8`!#9$"1BpcA+Ek")!#<7$$"1jE`ESPn`!#:$"1Gm*y)H(=/)!#<7$$"1=MoY:e?a!#:$"1*)*)48vvBz!#<7$$"1)f>Rs'zxa!#:$"1^7lnw$**z(!#<7$$"14<M[LCNb!#:$"0M[NoF)yw!#;7$$"1:Igq7^(e&!#:$"1c_T&fL8d(!#<7$$"1e:J#[<Ik&!#:$"1zYp#H)*)fu!#<7$$"20+++7'=(p&!#;$"1PBBG*ePN(!#<7$$"1=Os%\0fv&!#:$"1x6J*Q;:C(!#<7$$"1"*zfzSr1e!#:$"13d!e+!oYr!#<7$$"17C['ep]'e!#:$"1D'zb4&GSq!#<7$$"20-/3$o#*>f!#;$"1W'>Y^`E%p!#<7$$"1\)pR@aU(f!#:$"1%Rw!G(o"[o!#<7$$"1v[(\"[iGg!#:$"1YYWT^tbn!#<7$$"20">Q'QzS3'!#;$"1u#z7;"ejm!#<7$$"1E`1..'G9'!#:$"1F2l2[;ol!#<7$$"1">Qwkcn>'!#:$"1c!GcRhE['!#<7$$"1e<Ng#f*\i!#:$"1p&4mdi+S'!#<7$$"1$pQx(>$oI'!#:$"1@P$*zyo8j!#<7$$"1b4>))3ejj!#:$"1Tor&[?%Hi!#<7$$"2NjE`S;XT'!#;$"2v$*>(y$p`:'!#=7$$"1jC\)>`[Z'!#:$"2&3[dt1`pg!#=7$$"1E_/H-MDl!#:$"1=lL-lA**f!#<7$$"1_06#[!R%e'!#:$"1^mh`Tq=f!#<7$$"1/29G#[2k'!#:$"29g^xA>N%e!#=7$$"14=O#)*o5p'!#:$"1ulo'HBxx&!#<7$$"1NoOL*fwu'!#:$"1VEv29>0d!#<7$$"1\'Hf+EY!o!#:$"1/iQ/')pLc!#<7$$"1oMpG8Kho!#:$"1\gm&*e,kb!#<7$$"20,-/:&)Q"p!#;$"18D8%y%o+b!#<7$$"0$e;V>Jop!#9$"1Y.Q-_OOa!#<7$$"1.055-gCq!#:$"2k!o9:P:r`!#=7$$"1Z#\)fzq!3(!#:$"1b))\q&QuI&!#<7$$"1D\)pn@%Qr!#:$"1TZk`L?V_!#<7$$"1hAX]fD*=(!#:$"2'zW/$y!p(=&!#=7$$"2&e:J-L[Ys!#;$"1z`nn%fj7&!#<7$$"0)e<Nc%RI(!#9$"0tGep#)f1&!#;7$$"16?SS7Kft!#:$"02op]6*3]!#;7$$"2a7D]f2'4u!#;$"1soO%e2!e\!#<7$$"1iBZMHSpu!#:$"1/u!G'3f)*[!#<7$$"1f<NIu0?v!#:$"1n-qR&z"\[!#<7$$"1Gb5^1)*yv!#:$"2Mhn$e#RFz%!#=7$$"1T"GcoP6j(!#:$"2wHE3W(oVZ!#=7$$"1CZ%*=AO)o(!#:$"2/u5G;D3p%!#=7$$"1Fa32N&Gu(!#:$"1y4"e*RRTY!#<7$$"1W([(\%4(*z(!#:$"10W-nkt!f%!#<7$$"1"4=O&4#>&y!#:$"1;HA"QB]a%!#<7$$"1_.29"Q#3z!#:$"1"o4J,gl\%!#<7$$"1a18;etmz!#:$"1NiA/a7ZW!#<7$$"1%pQxBew,)!#:$"1JZD:`#[S%!#<7$$"1/29[els!)!#:$"2&eq=*4)))fV!#=7$$"1Hg?hPZH")!#:$"1>3\[.E9V!#<7$$"14;K/!f]=)!#:$"1L#y;V(QqU!#<7$$"1ze<&eS)Q#)!#:$"2%R2`K8kGU!#=7$$"0.17'eb)H)!#9$"1.'*G_/3$=%!#<7$$"1<Lm#p7AN)!#:$"2'[0=La$G9%!#=7$$"1F`18G]4%)!#:$"2u()4^ts05%!#=7$$"1yc8xhTh%)!#:$"1nS*RG$*G1%!#<7$$"104='>r"=&)!#:$"2c%*f?_bB-%!#=7$$"1./3YKdr&)!#:$"1cxS4W#[)R!#<7$$"1NmKvPRF')!#:$"1\bO<M@YR!#<7$$"1W'Gdao>o)!#:$"1#\nJ;j!4R!#<7$$"1mIhsK5R()!#:$"1\13L2zqQ!#<7$$"1KhA038%z)!#:$"1H*yfc;X$Q!#<7$$"1Fc70WS]))!#:$"1>l?.K+)z$!#<7$$"1Kg?J?@1*)!#:$"14\v>4OiP!#<7$$"1"4=OW$\d*)!#:$"1F8Y"3)4IP!#<7$$"1LnMHxE;!*!#:$"2NKZi`%o$p$!#=7$$"0yb6:O)o!*!#9$"2:n*3,\hhO!#=7$$"1zb6`])[7*!#:$"1LKQ!)*Hzi$!#<7$$"0&)pR+J&y"*!#9$"2;ZwR9qhf$!#=7$$"1`/4Qz4Q#*!#:$"1t#QEIW9c$!#<7$$"1/4=E&y'*G*!#:$"2X@%\QL#=`$!#=7$$"1D^-bHA[$*!#:$"2E<6@g(p)\$!#=7$$"1f;LY)z:S*!#:$"2u9yWgb*oM!#=7$$"0D]+!R%*f%*!#9$"1KmXx?!pV$!#<7$$"1*pRz?-.^*!#:$"1<M))p*R'4M!#<7$$"017CWawc*!#9$"1xXy,z-zL!#<7$$"0uZ&pQ0B'*!#9$"2a$Q*Gg!*)\L!#=7$$"1"*yd0rTy'*!#:$"1>pC*G)=@L!#<7$$"1d7DqmdL(*!#:$"2&4O#p(o*HH$!#=7$$"0%ycVxc'y*!#9$"2;<$*zN(GmK!#=7$$"1Kf=(\_Q%)*!#:$"1k%e$3u"yB$!#<7$$"1y_0@!\%)*)*!#:$"16_34j16K!#<7$$"0zd:H4f&**!#9$"1&=X)zvI$=$!#<7$$"1$e;tY#z+5!#9$"1`'*zxB_eJ!#<7$$"2#=OsS6a15!#:$"1VHRw?]JJ!#<7$$"2x_0"ot/75!#:$"2#=?x51)f5$!#=7$$"2&ze<$>Sv,"!#:$"2v>O;!['33$!#=7$$"2jD^-ZxK-"!#:$"1%4HLi!*\0$!#<7$$"2AU%)=rh&G5!#:$"2x`g#R$y9.$!#=7$$"2LlI")\tR."!#:$"22)4o3&4x+$!#=7$$"2(Hf=`([*R5!#:$"1,@v"fC=)H!#<7$$"2..1s&)e`/"!#:$"1>DlilqeH!#<7$$"2MnM>q"*30"!#:$"1Pi;#Qr`$H!#<7$$"2y`2DY=l0"!#:$"2/CT(>I&>"H!#=7$$"2`.2/b!ph5!#:$"1OM[I.q!*G!#<7$$"2d6B'GQ?n5!#:$"1`!e)H)G$oG!#<7$$"2`.2%R^ns5!#:$"2%)>/VW6k%G!#=7$$"2:Gc7uF&y5!#:$"2:HN7%RFBG!#=7$$"29Fa)3Cp$3"!#:$"0>ZSC:J!G!#;7$$"2$Gc7j8l*3"!#:$"2D:*R+F:!y#!#=7$$"2')pR*f)G]4"!#:$"2NU_>f)pfF!#=7$$"2Rxa>h\.5"!#:$"2O&RV#)fqRF!#=7$$"2@Ry'H6216!#:$"1$HR![aZ=F!#<7$$"1.17#z:=6"!#9$"2C+%[sMV(p#!#=7$$"2QtYVeUq6"!#:$"22jFm:B&yE!#=7$$"1)e<b?$fA6!#9$"1h9?V>oeE!#<7$$"2@V'Gp+,G6!#:$"2PA.N!RbRE!#=7$$"1%zen+#)Q8"!#9$"2la4[iw!>E!#=7$$"27BY_'G'*Q6!#:$"2OS)GA3d,E!#=7$$"2NnMfT)zW6!#:$"23?wX8/<e#!#=7$$"2V$oOSTG]6!#:$"28Ut_)yDjD!#=7$$"2sT$oyorb6!#:$"04`IG0_a#!#;7$$"2'>RyQR:h6!#:$"2i%3q#[\t_#!#=7$$"1BY#fR*pm6!#9$"2_x')\t^$4D!#=7$$"2['Hf([xD<"!#:$"2kFPyX10\#!#=7$$"28D]?7nz<"!#:$"2)3P;WNVtC!#=7$$"2#3;K$Q(G$="!#:$"2VV_A%3xcC!#=7$$"2;Ig]lu*)="!#:$"2DDTydk"RC!#=7$$"2w_0ha\Y>"!#:$"2<"G>]_!=U#!#=7$$"$?"!""$"2/WB;7EcS#!#=-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%*THICKNESSG6#""%-%'CURVESG6%7\_l7$$"#5!""$"#5!""7$$"2=Qw_lLy0"!#;$"#5!""7$$"2t[(\4W:36!#;$"#5!""7$$"2E^-0OXZ;"!#;$"#5!""7$$"2nKlIV6<A"!#;$"#5!""7$$"2f9Hev1%y7!#;$"#5!""7$$"2&)oPvdq4L"!#;$"#5!""7$$"2u],.P(R&Q"!#;$"#5!""7$$"23=Osj&oT9!#;$"#5!""7$$"2Z#\)pQ$z(\"!#;$"#5!""7$$"2Kg?T52bb"!#;$"#5!""7$$"2'Rzex8M1;!#;$"#5!""7$$"1OsWH(oNm"!#:$"#5!""7$$"2xb6B1J5s"!#;$"#5!""7$$"2%)oPvm1kx"!#;$"#5!""7$$"1/3;AIpE=!#:$"#5!""7$$"2./3;O)[')=!#;$"#5!""7$$"2sV([dG9P>!#;$"#5!""7$$"2<KkyY/m'>!#;$"#5!""7$$"117Cyg1'*>!#:$"#5!""7$$"2y.qb)fp(*>!#;$"#5!""7$$"2$p))*G*eK**>!#;$"#5!""7$$"28qF-!e&4+#!#;$"1QF$f!R`NN!#;7$$"2G`cvq&e-?!#;$"1QF$f!R`NN!#;7$$"1'>9A_Xe+#!#:$"1QF$f!R`NN!#;7$$"1f=(oL0"4?!#:$"1QF$f!R`NN!#;7$$"1'=(=m\i:?!#:$"1QF$f!R`NN!#;7$$"2E^-bfW@-#!#;$"1QF$f!R`NN!#;7$$"1mJ8aQ=N?!#:$"1QF$f!R`NN!#;7$$"1>Qw7JA[?!#:$"1QF$f!R`NN!#;7$$"216A%z`$o2#!#;$"1QF$f!R`NN!#;7$$"2CS!3YwW0@!#;$"1QF$f!R`NN!#;7$$"2d5@U$*Q*f@!#;$"1QF$f!R`NN!#;7$$"1AW)o([z;A!#:$"1QF$f!R`NN!#;7$$"1pPv!Q1!pA!#:$"1QF$f!R`NN!#;7$$"2-.17aB`K#!#;$"1QF$f!R`NN!#;7$$"2<LmKC@QQ#!#;$"1QF$f!R`NN!#;7$$"2<Pu[mVZV#!#;$"1QF$f!R`NN!#;7$$"1#Qw_FT(*[#!#:$"1QF$f!R`NN!#;7$$"2(3<M)=fla#!#;$"1QF$f!R`NN!#;7$$"2kGd9VW@g#!#;$"1QF$f!R`NN!#;7$$"1e:J7g#fl#!#:$"1QF$f!R`NN!#;7$$"2&3<M)GTcr#!#;$"1QF$f!R`NN!#;7$$"2[**)z>")HpF!#;$"1QF$f!R`NN!#;7$$"105?S#)eEG!#:$"1QF$f!R`NN!#;7$$"2lNrUg,&yG!#;$"1QF$f!R`NN!#;7$$"1$e;Lic_$H!#:$"1QF$f!R`NN!#;7$$"2<Lm#[w&>'H!#;$"1QF$f!R`NN!#;7$$"2.3;Kne'))H!#;$"1QF$f!R`NN!#;7$$"0(RHcu9#*H!#9$"1QF$f!R`NN!#;7$$"2%f=PRij&*H!#;$"1QF$f!R`NN!#;7$$"1/3"4j!Q(*H!#:$"1QF$f!R`NN!#;7$$"1\(\C-D"**H!#:$"1QF$f!R`NN!#;7$$"1%p))RTp3+$!#:$"2Bv)H(*3]C>!#<7$$"1Qw_0Qh-I!#:$"2Bv)H(*3]C>!#<7$$"1<Mor8f4I!#:$"2Bv)H(*3]C>!#<7$$"1'>Ry$*ol,$!#:$"2Bv)H(*3]C>!#<7$$"1a2:qS_II!#:$"2Bv)H(*3]C>!#<7$$"2<JiC?zW/$!#;$"2Bv)H(*3]C>!#<7$$"2lJjwem<2$!#;$"2Bv)H(*3]C>!#<7$$"2;KkG(R0*4$!#;$"2Bv)H(*3]C>!#<7$$"2Ou[(*p)=cJ!#;$"2Bv)H(*3]C>!#<7$$"14=OKi@6K!#:$"2Bv)H(*3]C>!#<7$$"128EK)*[nK!#:$"2Bv)H(*3]C>!#<7$$"2)3<MeuHBL!#;$"2Bv)H(*3]C>!#<7$$"1pPvq)yXP$!#:$"2Bv)H(*3]C>!#<7$$"2AT#[cJNLM!#;$"2Bv)H(*3]C>!#<7$$"2xX"Hy:#f[$!#;$"2Bv)H(*3]C>!#<7$$"2mD^-[q>a$!#;$"2Bv)H(*3]C>!#<7$$"1Gb5Jkh&f$!#:$"2Bv)H(*3]C>!#<7$$"1JhAlL=bO!#:$"2Bv)H(*3]C>!#<7$$"1$e;L&Rw1P!#:$"2Bv)H(*3]C>!#<7$$"2W!3;#Q3`w$!#;$"2Bv)H(*3]C>!#<7$$"1PtYt_m=Q!#:$"2Bv)H(*3]C>!#<7$$"0$f=F$Hq(Q!#9$"2Bv)H(*3]C>!#<7$$"2nPv]j(QFR!#;$"2Bv)H(*3]C>!#<7$$"1e:J_P1cR!#:$"2Bv)H(*3]C>!#<7$$"1Rxap)RZ)R!#:$"2Bv)H(*3]C>!#<7$$"2%)pRzzk;*R!#;$"2Bv)H(*3]C>!#<7$$"2$e;LE(*e)*R!#;$"2Bv)H(*3]C>!#<7$$"1['H%e4K+S!#:$"$D"!"$7$$"1Qw_!>_?+%!#:$"$D"!"$7$$"1GciAMy.S!#:$"$D"!"$7$$"1=OsaY^0S!#:$"$D"!"$7$$"2vf>*=r(*3S!#;$"$D"!"$7$$"1yb6$eRC,%!#:$"$D"!"$7$$"2v\**)R%*GES!#;$"$D"!"$7$$"1<Mo'HR,/%!#:$"$D"!"$7$$"1#\)p94#y1%!#:$"$D"!"$7$$"1oNrKD]&4%!#:$"$D"!"$7$$"1NpQ(4i1:%!#:$"$D"!"$7$$"1=NqqJl.U!#:$"$D"!"$7$$"13;KCz$4E%!#:$"$D"!"$7$$"1b4>[W`:V!#:$"$D"!"$7$$"1oMp=Z*HP%!#:$"$D"!"$7$$"13:I+,,DW!#:$"$D"!"$7$$"0'=PMo\#[%!#9$"$D"!"$7$$"1b4>3"fv`%!#:$"$D"!"$7$$"1tW*)et[#f%!#:$"$D"!"$7$$"1U#['H,')\Y!#:$"$D"!"$7$$"/*zfa-Fq%!#8$"$D"!"$7$$"16AW3/#ov%!#:$"$D"!"$7$$"1v\**eHd;[!#:$"$D"!"$7$$"1zf>**Rnq[!#:$"$D"!"$7$$"17C[YC+E\!#:$"$D"!"$7$$"1MnM\i8a\!#:$"$D"!"$7$$"1c5@_+F#)\!#:$"$D"!"$7$$"1Ga3i^t))\!#:$"$D"!"$7$$"1*zf>F+_*\!#:$"$D"!"$7$$"2DRG%\l"o*\!#;$"$D"!"$7$$"1')p*o#GV)*\!#:$"$D"!"$7$$"1ybO/"\++&!#:$"0;***4>FW*)!#;7$$"1rT$=Ql;+&!#:$"0;***4>FW*)!#;7$$"1d8xOz*[+&!#:$"0;***4>FW*)!#;7$$"1W&3<\I"3]!#:$"0;***4>FW*)!#;7$$"1(Gd9rg5-&!#:$"0;***4>FW*)!#;7$$"1Jg?J4*R.&!#:$"0;***4>FW*)!#;7$$"1LkGAtbh]!#:$"0;***4>FW*)!#;7$$"1NoO8P7*3&!#:$"0;***4>FW*)!#;7$$"1Jg?@o$Q9&!#:$"0;***4>FW*)!#;7$$"1$\)pRGO-_!#:$"0;***4>FW*)!#;7$$"1#Ryc^4SD&!#:$"0;***4>FW*)!#;7$$"0'>Re!*f8`!#9$"0;***4>FW*)!#;7$$"1jE`ESPn`!#:$"0;***4>FW*)!#;7$$"1=MoY:e?a!#:$"0;***4>FW*)!#;7$$"1)f>Rs'zxa!#:$"0;***4>FW*)!#;7$$"14<M[LCNb!#:$"0;***4>FW*)!#;7$$"1:Igq7^(e&!#:$"0;***4>FW*)!#;7$$"1e:J#[<Ik&!#:$"0;***4>FW*)!#;7$$"20+++7'=(p&!#;$"0;***4>FW*)!#;7$$"1=Os%\0fv&!#:$"0;***4>FW*)!#;7$$"1"*zfzSr1e!#:$"0;***4>FW*)!#;7$$"17C['ep]'e!#:$"0;***4>FW*)!#;7$$"20-/3$o#*>f!#;$"0;***4>FW*)!#;7$$"1NpQA04Zf!#:$"0;***4>FW*)!#;7$$"1\)pR@aU(f!#:$"0;***4>FW*)!#;7$$"1xa4R00")f!#:$"0;***4>FW*)!#;7$$"116Ako%y)f!#:$"0;***4>FW*)!#;7$$"0#RyE]C"*f!#9$"0;***4>FW*)!#;7$$"1MnM*=VY*f!#:$"0;***4>FW*)!#;7$$"1T"G1FUj*f!#:$"0;***4>FW*)!#;7$$"2va4>NT!)*f!#;$"0;***4>FW*)!#;7$$"1a4>L/u**f!#:$"0;***4>FW*)!#;7$$"1iBZ9&R9+'!#:$"1<xRu"QT!o!#<7$$"2&=Osk@.:g!#;$"1<xRu"QT!o!#<7$$"1v[(\"[iGg!#:$"1<xRu"QT!o!#<7$$"1#Ry15_j0'!#:$"1<xRu"QT!o!#<7$$"20">Q'QzS3'!#;$"1<xRu"QT!o!#<7$$"1E`1..'G9'!#:$"1<xRu"QT!o!#<7$$"1">Qwkcn>'!#:$"1<xRu"QT!o!#<7$$"1e<Ng#f*\i!#:$"1<xRu"QT!o!#<7$$"1$pQx(>$oI'!#:$"1<xRu"QT!o!#<7$$"1b4>))3ejj!#:$"1<xRu"QT!o!#<7$$"2NjE`S;XT'!#;$"1<xRu"QT!o!#<7$$"1jC\)>`[Z'!#:$"1<xRu"QT!o!#<7$$"1E_/H-MDl!#:$"1<xRu"QT!o!#<7$$"1_06#[!R%e'!#:$"1<xRu"QT!o!#<7$$"1/29G#[2k'!#:$"1<xRu"QT!o!#<7$$"14=O#)*o5p'!#:$"1<xRu"QT!o!#<7$$"1NoOL*fwu'!#:$"1<xRu"QT!o!#<7$$"1\'Hf+EY!o!#:$"1<xRu"QT!o!#<7$$"1oMpG8Kho!#:$"1<xRu"QT!o!#<7$$"20,-/:&)Q"p!#;$"1<xRu"QT!o!#<7$$"0#RyY&)4Tp!#9$"1<xRu"QT!o!#<7$$"0$e;V>Jop!#9$"1<xRu"QT!o!#<7$$"1)\**)4SQ#)p!#:$"1<xRu"QT!o!#<7$$"1mJjwgX'*p!#:$"1<xRu"QT!o!#<7$$"1u[(\3:#)*p!#:$"1<xRu"QT!o!#<7$$"1$e;L4u***p!#:$"1<xRu"QT!o!#<7$$"1"He;5L<+(!#:$"1*Qg:Z#\*R&!#<7$$"*6#\.q!")$"1*Qg:Z#\*R&!#<7$$"1<MoE,,2q!#:$"1*Qg:Z#\*R&!#<7$$"1MoOV"G0,(!#:$"1*Qg:Z#\*R&!#<7$$"1oOtwTc<q!#:$"1*Qg:Z#\*R&!#<7$$"1.055-gCq!#:$"1*Qg:Z#\*R&!#<7$$"1v[(\3aE0(!#:$"1*Qg:Z#\*R&!#<7$$"1Z#\)fzq!3(!#:$"1*Qg:Z#\*R&!#<7$$"1D\)pn@%Qr!#:$"1*Qg:Z#\*R&!#<7$$"1hAX]fD*=(!#:$"1*Qg:Z#\*R&!#<7$$"2&e:J-L[Ys!#;$"1*Qg:Z#\*R&!#<7$$"0)e<Nc%RI(!#9$"1*Qg:Z#\*R&!#<7$$"16?SS7Kft!#:$"1*Qg:Z#\*R&!#<7$$"2a7D]f2'4u!#;$"1*Qg:Z#\*R&!#<7$$"1iBZMHSpu!#:$"1*Qg:Z#\*R&!#<7$$"1f<NIu0?v!#:$"1*Qg:Z#\*R&!#<7$$"1Gb5^1)*yv!#:$"1*Qg:Z#\*R&!#<7$$"1T"GcoP6j(!#:$"1*Qg:Z#\*R&!#<7$$"1CZ%*=AO)o(!#:$"1*Qg:Z#\*R&!#<7$$"1Fa32N&Gu(!#:$"1*Qg:Z#\*R&!#<7$$"1W([(\%4(*z(!#:$"1*Qg:Z#\*R&!#<7$$"1"4=O&4#>&y!#:$"1*Qg:Z#\*R&!#<7$$"1_.29"Q#3z!#:$"1*Qg:Z#\*R&!#<7$$"2C]+^'p[Pz!#;$"1*Qg:Z#\*R&!#<7$$"1a18;etmz!#:$"1*Qg:Z#\*R&!#<7$$"1jE`@kYzz!#:$"1*Qg:Z#\*R&!#<7$$"1uY$p-(>#*z!#:$"1*Qg:Z#\*R&!#<7$$"1x^Gy'z`*z!#:$"1*Qg:Z#\*R&!#<7$$"1zcjHBc)*z!#:$"1*Qg:Z#\*R&!#<7$$"0$4JbO:+!)!#9$"1AfT#Q<%>W!#<7$$"1#=')4)\u,!)!#:$"1AfT#Q<%>W!#<7$$"1L9m1jL.!)!#:$"1AfT#Q<%>W!#<7$$"1&oOBjF\+)!#:$"1AfT#Q<%>W!#<7$$"0pP]$HH6!)!#9$"1AfT#Q<%>W!#<7$$"1%pQxBew,)!#:$"1AfT#Q<%>W!#<7$$"/(RH/d^/)!#8$"1AfT#Q<%>W!#<7$$"1/29[els!)!#:$"1AfT#Q<%>W!#<7$$"1Hg?hPZH")!#:$"1AfT#Q<%>W!#<7$$"14;K/!f]=)!#:$"1AfT#Q<%>W!#<7$$"1ze<&eS)Q#)!#:$"1AfT#Q<%>W!#<7$$"0.17'eb)H)!#9$"1AfT#Q<%>W!#<7$$"1<Lm#p7AN)!#:$"1AfT#Q<%>W!#<7$$"1F`18G]4%)!#:$"1AfT#Q<%>W!#<7$$"1yc8xhTh%)!#:$"1AfT#Q<%>W!#<7$$"104='>r"=&)!#:$"1AfT#Q<%>W!#<7$$"1./3YKdr&)!#:$"1AfT#Q<%>W!#<7$$"1NmKvPRF')!#:$"1AfT#Q<%>W!#<7$$"1W'Gdao>o)!#:$"1AfT#Q<%>W!#<7$$"1mIhsK5R()!#:$"1AfT#Q<%>W!#<7$$"1KhA038%z)!#:$"1AfT#Q<%>W!#<7$$"1Fc70WS]))!#:$"1AfT#Q<%>W!#<7$$"1Kg?J?@1*)!#:$"1AfT#Q<%>W!#<7$$"1h?TPF&=$*)!#:$"1AfT#Q<%>W!#<7$$"1"4=OW$\d*)!#:$"1AfT#Q<%>W!#<7$$"1`-0:q=s*)!#:$"1AfT#Q<%>W!#<7$$"17C['e!)o)*)!#:$"1AfT#Q<%>W!#<7$$"0XS$zRb!**)!#9$"1AfT#Q<%>W!#<7$$"1"\)>stA%**)!#:$"1AfT#Q<%>W!#<7$$"16vioS1'**)!#:$"1AfT#Q<%>W!#<7$$"1Jl0l2!z**)!#:$"1AfT#Q<%>W!#<7$$"1_b[hut***)!#:$"1AfT#Q<%>W!#<7$$"1sX"z:u:+*!#:$"2Nq.Pq.Pq$!#=7$$"1`1jV4#*3!*!#:$"2Nq.Pq.Pq$!#=7$$"1LnMHxE;!*!#:$"2Nq.Pq.Pq$!#=7$$"1e7DS>bU!*!#:$"2Nq.Pq.Pq$!#=7$$"0yb6:O)o!*!#9$"2Nq.Pq.Pq$!#=7$$"1zb6`])[7*!#:$"2Nq.Pq.Pq$!#=7$$"0&)pR+J&y"*!#9$"2Nq.Pq.Pq$!#=7$$"1`/4Qz4Q#*!#:$"2Nq.Pq.Pq$!#=7$$"1/4=E&y'*G*!#:$"2Nq.Pq.Pq$!#=7$$"1D^-bHA[$*!#:$"2Nq.Pq.Pq$!#=7$$"1f;LY)z:S*!#:$"2Nq.Pq.Pq$!#=7$$"0D]+!R%*f%*!#9$"2Nq.Pq.Pq$!#=7$$"1*pRz?-.^*!#:$"2Nq.Pq.Pq$!#=7$$"017CWawc*!#9$"2Nq.Pq.Pq$!#=7$$"0uZ&pQ0B'*!#9$"2Nq.Pq.Pq$!#=7$$"1"*yd0rTy'*!#:$"2Nq.Pq.Pq$!#=7$$"1d7DqmdL(*!#:$"2Nq.Pq.Pq$!#=7$$"0%ycVxc'y*!#9$"2Nq.Pq.Pq$!#=7$$"1Kf=(\_Q%)*!#:$"2Nq.Pq.Pq$!#=7$$"1y_0@!\%)*)*!#:$"2Nq.Pq.Pq$!#=7$$"1LlIc"zr#**!#:$"2Nq.Pq.Pq$!#=7$$"0zd:H4f&**!#9$"2Nq.Pq.Pq$!#=7$$"1*zfp88*o**!#:$"2Nq.Pq.Pq$!#=7$$"0"=O#)p">)**!#9$"2Nq.Pq.Pq$!#=7$$"1:G10*=%))**!#:$"2Nq.Pq.Pq$!#=7$$"0#QwF3#\***!#9$"2Nq.Pq.Pq$!#=7$$"1s!R%3ja'***!#:$"2Nq.Pq.Pq$!#=7$$"1BV6*yr")***!#:$"2Nq.Pq.Pq$!#=7$$"1v&*ypsz****!#:$"2Nq.Pq.Pq$!#=7$$"2E[Y]FU,+"!#:$"0Qo,mxA;$!#;7$$"2H`"=rtY+5!#:$"0Qo,mxA;$!#;7$$"1$e;tY#z+5!#9$"0Qo,mxA;$!#;7$$"215?S!om.5!#:$"0Qo,mxA;$!#;7$$"2#=OsS6a15!#:$"0Qo,mxA;$!#;7$$"2x_0"ot/75!#:$"0Qo,mxA;$!#;7$$"2&ze<$>Sv,"!#:$"0Qo,mxA;$!#;7$$"2jD^-ZxK-"!#:$"0Qo,mxA;$!#;7$$"2AU%)=rh&G5!#:$"0Qo,mxA;$!#;7$$"2LlI")\tR."!#:$"0Qo,mxA;$!#;7$$"2(Hf=`([*R5!#:$"0Qo,mxA;$!#;7$$"2..1s&)e`/"!#:$"0Qo,mxA;$!#;7$$"2MnM>q"*30"!#:$"0Qo,mxA;$!#;7$$"2y`2DY=l0"!#:$"0Qo,mxA;$!#;7$$"2`.2/b!ph5!#:$"0Qo,mxA;$!#;7$$"2d6B'GQ?n5!#:$"0Qo,mxA;$!#;7$$"2`.2%R^ns5!#:$"0Qo,mxA;$!#;7$$"2:Gc7uF&y5!#:$"0Qo,mxA;$!#;7$$"29Fa)3Cp$3"!#:$"0Qo,mxA;$!#;7$$"2$Gc7j8l*3"!#:$"0Qo,mxA;$!#;7$$"2MmK:6SB4"!#:$"0Qo,mxA;$!#;7$$"2')pR*f)G]4"!#:$"0Qo,mxA;$!#;7$$"2vYVz/fj4"!#:$"0Qo,mxA;$!#;7$$"2iBZfB*o(4"!#:$"0Qo,mxA;$!#;7$$"217\*HVN)4"!#:$"0Qo,mxA;$!#;7$$"105&RU>!*4"!#9$"0Qo,mxA;$!#;7$$"2s%>&4(>N*4"!#:$"0Qo,mxA;$!#;7$$"2%*)G&z^%o*4"!#:$"0Qo,mxA;$!#;7$$"2/O`9z])*4"!#:$"0Qo,mxA;$!#;7$$"2:$Q&\1<+5"!#:$"1:UVBA,TF!#<7$$"2EIa%QL=+6!#:$"1:UVBA,TF!#<7$$"2Rxa>h\.5"!#:$"1:UVBA,TF!#<7$$"2Je;3P5K5"!#:$"1:UVBA,TF!#<7$$"2@Ry'H6216!#:$"1:UVBA,TF!#<7$$"1.17#z:=6"!#9$"1:UVBA,TF!#<7$$"2QtYVeUq6"!#:$"1:UVBA,TF!#<7$$"1)e<b?$fA6!#9$"1:UVBA,TF!#<7$$"2@V'Gp+,G6!#:$"1:UVBA,TF!#<7$$"1%zen+#)Q8"!#9$"1:UVBA,TF!#<7$$"27BY_'G'*Q6!#:$"1:UVBA,TF!#<7$$"2NnMfT)zW6!#:$"1:UVBA,TF!#<7$$"2V$oOSTG]6!#:$"1:UVBA,TF!#<7$$"2sT$oyorb6!#:$"1:UVBA,TF!#<7$$"2'>RyQR:h6!#:$"1:UVBA,TF!#<7$$"1BY#fR*pm6!#9$"1:UVBA,TF!#<7$$"2['Hf([xD<"!#:$"1:UVBA,TF!#<7$$"28D]?7nz<"!#:$"1:UVBA,TF!#<7$$"2#3;K$Q(G$="!#:$"1:UVBA,TF!#<7$$"2;Ig]lu*)="!#:$"1:UVBA,TF!#<7$$"2Y"He+@"=>"!#:$"1:UVBA,TF!#<7$$"2w_0ha\Y>"!#:$"1:UVBA,TF!#<7$$"2f9z&fr)f>"!#:$"1:UVBA,TF!#<7$$"2Rw_IxCt>"!#:$"1:UVBA,TF!#<7$$"1t&*yzN*z>"!#9$"1:UVBA,TF!#<7$$"1#QElQi')>"!#9$"1:UVBA,TF!#<7$$"2ky%*)*y'**)>"!#:$"1:UVBA,TF!#<7$$"1">jK>J$*>"!#9$"1:UVBA,TF!#<7$$"2MRZ\R)\*>"!#:$"1:UVBA,TF!#<7$$"2cfJmfl'*>"!#:$"1:UVBA,TF!#<7$$"2yz:$)zK)*>"!#:$"1:UVBA,TF!#<7$$"$?"!""$"2/WB;7EcS#!#=-%&COLORG6&%$RGBG$"#5!""$")AR!)\!")$""!!""-%*THICKNESSG6#""#-%'CURVESG6%7\_l7$$"#5!""$"1QF$f!R`NN!#;7$$"2=Qw_lLy0"!#;$"1QF$f!R`NN!#;7$$"2t[(\4W:36!#;$"1QF$f!R`NN!#;7$$"2E^-0OXZ;"!#;$"1QF$f!R`NN!#;7$$"2nKlIV6<A"!#;$"1QF$f!R`NN!#;7$$"2f9Hev1%y7!#;$"1QF$f!R`NN!#;7$$"2&)oPvdq4L"!#;$"1QF$f!R`NN!#;7$$"2u],.P(R&Q"!#;$"1QF$f!R`NN!#;7$$"23=Osj&oT9!#;$"1QF$f!R`NN!#;7$$"2Z#\)pQ$z(\"!#;$"1QF$f!R`NN!#;7$$"2Kg?T52bb"!#;$"1QF$f!R`NN!#;7$$"2'Rzex8M1;!#;$"1QF$f!R`NN!#;7$$"1OsWH(oNm"!#:$"1QF$f!R`NN!#;7$$"2xb6B1J5s"!#;$"1QF$f!R`NN!#;7$$"2%)oPvm1kx"!#;$"1QF$f!R`NN!#;7$$"1/3;AIpE=!#:$"1QF$f!R`NN!#;7$$"2./3;O)[')=!#;$"1QF$f!R`NN!#;7$$"2sV([dG9P>!#;$"1QF$f!R`NN!#;7$$"2<KkyY/m'>!#;$"1QF$f!R`NN!#;7$$"117Cyg1'*>!#:$"1QF$f!R`NN!#;7$$"2y.qb)fp(*>!#;$"1QF$f!R`NN!#;7$$"2$p))*G*eK**>!#;$"1QF$f!R`NN!#;7$$"28qF-!e&4+#!#;$"2Bv)H(*3]C>!#<7$$"2G`cvq&e-?!#;$"2Bv)H(*3]C>!#<7$$"1'>9A_Xe+#!#:$"2Bv)H(*3]C>!#<7$$"1f=(oL0"4?!#:$"2Bv)H(*3]C>!#<7$$"1'=(=m\i:?!#:$"2Bv)H(*3]C>!#<7$$"2E^-bfW@-#!#;$"2Bv)H(*3]C>!#<7$$"1mJ8aQ=N?!#:$"2Bv)H(*3]C>!#<7$$"1>Qw7JA[?!#:$"2Bv)H(*3]C>!#<7$$"216A%z`$o2#!#;$"2Bv)H(*3]C>!#<7$$"2CS!3YwW0@!#;$"2Bv)H(*3]C>!#<7$$"2d5@U$*Q*f@!#;$"2Bv)H(*3]C>!#<7$$"1AW)o([z;A!#:$"2Bv)H(*3]C>!#<7$$"1pPv!Q1!pA!#:$"2Bv)H(*3]C>!#<7$$"2-.17aB`K#!#;$"2Bv)H(*3]C>!#<7$$"2<LmKC@QQ#!#;$"2Bv)H(*3]C>!#<7$$"2<Pu[mVZV#!#;$"2Bv)H(*3]C>!#<7$$"1#Qw_FT(*[#!#:$"2Bv)H(*3]C>!#<7$$"2(3<M)=fla#!#;$"2Bv)H(*3]C>!#<7$$"2kGd9VW@g#!#;$"2Bv)H(*3]C>!#<7$$"1e:J7g#fl#!#:$"2Bv)H(*3]C>!#<7$$"2&3<M)GTcr#!#;$"2Bv)H(*3]C>!#<7$$"2[**)z>")HpF!#;$"2Bv)H(*3]C>!#<7$$"105?S#)eEG!#:$"2Bv)H(*3]C>!#<7$$"2lNrUg,&yG!#;$"2Bv)H(*3]C>!#<7$$"1$e;Lic_$H!#:$"2Bv)H(*3]C>!#<7$$"2<Lm#[w&>'H!#;$"2Bv)H(*3]C>!#<7$$"2.3;Kne'))H!#;$"2Bv)H(*3]C>!#<7$$"0(RHcu9#*H!#9$"2Bv)H(*3]C>!#<7$$"2%f=PRij&*H!#;$"2Bv)H(*3]C>!#<7$$"1/3"4j!Q(*H!#:$"2Bv)H(*3]C>!#<7$$"1\(\C-D"**H!#:$"2Bv)H(*3]C>!#<7$$"1%p))RTp3+$!#:$"$D"!"$7$$"1Qw_0Qh-I!#:$"$D"!"$7$$"1<Mor8f4I!#:$"$D"!"$7$$"1'>Ry$*ol,$!#:$"$D"!"$7$$"1a2:qS_II!#:$"$D"!"$7$$"2<JiC?zW/$!#;$"$D"!"$7$$"2lJjwem<2$!#;$"$D"!"$7$$"2;KkG(R0*4$!#;$"$D"!"$7$$"2Ou[(*p)=cJ!#;$"$D"!"$7$$"14=OKi@6K!#:$"$D"!"$7$$"128EK)*[nK!#:$"$D"!"$7$$"2)3<MeuHBL!#;$"$D"!"$7$$"1pPvq)yXP$!#:$"$D"!"$7$$"2AT#[cJNLM!#;$"$D"!"$7$$"2xX"Hy:#f[$!#;$"$D"!"$7$$"2mD^-[q>a$!#;$"$D"!"$7$$"1Gb5Jkh&f$!#:$"$D"!"$7$$"1JhAlL=bO!#:$"$D"!"$7$$"1$e;L&Rw1P!#:$"$D"!"$7$$"2W!3;#Q3`w$!#;$"$D"!"$7$$"1PtYt_m=Q!#:$"$D"!"$7$$"0$f=F$Hq(Q!#9$"$D"!"$7$$"2nPv]j(QFR!#;$"$D"!"$7$$"1e:J_P1cR!#:$"$D"!"$7$$"1Rxap)RZ)R!#:$"$D"!"$7$$"2%)pRzzk;*R!#;$"$D"!"$7$$"2$e;LE(*e)*R!#;$"$D"!"$7$$"1['H%e4K+S!#:$"0;***4>FW*)!#;7$$"1Qw_!>_?+%!#:$"0;***4>FW*)!#;7$$"1GciAMy.S!#:$"0;***4>FW*)!#;7$$"1=OsaY^0S!#:$"0;***4>FW*)!#;7$$"2vf>*=r(*3S!#;$"0;***4>FW*)!#;7$$"1yb6$eRC,%!#:$"0;***4>FW*)!#;7$$"2v\**)R%*GES!#;$"0;***4>FW*)!#;7$$"1<Mo'HR,/%!#:$"0;***4>FW*)!#;7$$"1#\)p94#y1%!#:$"0;***4>FW*)!#;7$$"1oNrKD]&4%!#:$"0;***4>FW*)!#;7$$"1NpQ(4i1:%!#:$"0;***4>FW*)!#;7$$"1=NqqJl.U!#:$"0;***4>FW*)!#;7$$"13;KCz$4E%!#:$"0;***4>FW*)!#;7$$"1b4>[W`:V!#:$"0;***4>FW*)!#;7$$"1oMp=Z*HP%!#:$"0;***4>FW*)!#;7$$"13:I+,,DW!#:$"0;***4>FW*)!#;7$$"0'=PMo\#[%!#9$"0;***4>FW*)!#;7$$"1b4>3"fv`%!#:$"0;***4>FW*)!#;7$$"1tW*)et[#f%!#:$"0;***4>FW*)!#;7$$"1U#['H,')\Y!#:$"0;***4>FW*)!#;7$$"/*zfa-Fq%!#8$"0;***4>FW*)!#;7$$"16AW3/#ov%!#:$"0;***4>FW*)!#;7$$"1v\**eHd;[!#:$"0;***4>FW*)!#;7$$"1zf>**Rnq[!#:$"0;***4>FW*)!#;7$$"17C[YC+E\!#:$"0;***4>FW*)!#;7$$"1MnM\i8a\!#:$"0;***4>FW*)!#;7$$"1c5@_+F#)\!#:$"0;***4>FW*)!#;7$$"1Ga3i^t))\!#:$"0;***4>FW*)!#;7$$"1*zf>F+_*\!#:$"0;***4>FW*)!#;7$$"2DRG%\l"o*\!#;$"0;***4>FW*)!#;7$$"1')p*o#GV)*\!#:$"0;***4>FW*)!#;7$$"1ybO/"\++&!#:$"1<xRu"QT!o!#<7$$"1rT$=Ql;+&!#:$"1<xRu"QT!o!#<7$$"1d8xOz*[+&!#:$"1<xRu"QT!o!#<7$$"1W&3<\I"3]!#:$"1<xRu"QT!o!#<7$$"1(Gd9rg5-&!#:$"1<xRu"QT!o!#<7$$"1Jg?J4*R.&!#:$"1<xRu"QT!o!#<7$$"1LkGAtbh]!#:$"1<xRu"QT!o!#<7$$"1NoO8P7*3&!#:$"1<xRu"QT!o!#<7$$"1Jg?@o$Q9&!#:$"1<xRu"QT!o!#<7$$"1$\)pRGO-_!#:$"1<xRu"QT!o!#<7$$"1#Ryc^4SD&!#:$"1<xRu"QT!o!#<7$$"0'>Re!*f8`!#9$"1<xRu"QT!o!#<7$$"1jE`ESPn`!#:$"1<xRu"QT!o!#<7$$"1=MoY:e?a!#:$"1<xRu"QT!o!#<7$$"1)f>Rs'zxa!#:$"1<xRu"QT!o!#<7$$"14<M[LCNb!#:$"1<xRu"QT!o!#<7$$"1:Igq7^(e&!#:$"1<xRu"QT!o!#<7$$"1e:J#[<Ik&!#:$"1<xRu"QT!o!#<7$$"20+++7'=(p&!#;$"1<xRu"QT!o!#<7$$"1=Os%\0fv&!#:$"1<xRu"QT!o!#<7$$"1"*zfzSr1e!#:$"1<xRu"QT!o!#<7$$"17C['ep]'e!#:$"1<xRu"QT!o!#<7$$"20-/3$o#*>f!#;$"1<xRu"QT!o!#<7$$"1NpQA04Zf!#:$"1<xRu"QT!o!#<7$$"1\)pR@aU(f!#:$"1<xRu"QT!o!#<7$$"1xa4R00")f!#:$"1<xRu"QT!o!#<7$$"116Ako%y)f!#:$"1<xRu"QT!o!#<7$$"0#RyE]C"*f!#9$"1<xRu"QT!o!#<7$$"1MnM*=VY*f!#:$"1<xRu"QT!o!#<7$$"1T"G1FUj*f!#:$"1<xRu"QT!o!#<7$$"2va4>NT!)*f!#;$"1<xRu"QT!o!#<7$$"1a4>L/u**f!#:$"1<xRu"QT!o!#<7$$"1iBZ9&R9+'!#:$"1*Qg:Z#\*R&!#<7$$"2&=Osk@.:g!#;$"1*Qg:Z#\*R&!#<7$$"1v[(\"[iGg!#:$"1*Qg:Z#\*R&!#<7$$"1#Ry15_j0'!#:$"1*Qg:Z#\*R&!#<7$$"20">Q'QzS3'!#;$"1*Qg:Z#\*R&!#<7$$"1E`1..'G9'!#:$"1*Qg:Z#\*R&!#<7$$"1">Qwkcn>'!#:$"1*Qg:Z#\*R&!#<7$$"1e<Ng#f*\i!#:$"1*Qg:Z#\*R&!#<7$$"1$pQx(>$oI'!#:$"1*Qg:Z#\*R&!#<7$$"1b4>))3ejj!#:$"1*Qg:Z#\*R&!#<7$$"2NjE`S;XT'!#;$"1*Qg:Z#\*R&!#<7$$"1jC\)>`[Z'!#:$"1*Qg:Z#\*R&!#<7$$"1E_/H-MDl!#:$"1*Qg:Z#\*R&!#<7$$"1_06#[!R%e'!#:$"1*Qg:Z#\*R&!#<7$$"1/29G#[2k'!#:$"1*Qg:Z#\*R&!#<7$$"14=O#)*o5p'!#:$"1*Qg:Z#\*R&!#<7$$"1NoOL*fwu'!#:$"1*Qg:Z#\*R&!#<7$$"1\'Hf+EY!o!#:$"1*Qg:Z#\*R&!#<7$$"1oMpG8Kho!#:$"1*Qg:Z#\*R&!#<7$$"20,-/:&)Q"p!#;$"1*Qg:Z#\*R&!#<7$$"0#RyY&)4Tp!#9$"1*Qg:Z#\*R&!#<7$$"0$e;V>Jop!#9$"1*Qg:Z#\*R&!#<7$$"1)\**)4SQ#)p!#:$"1*Qg:Z#\*R&!#<7$$"1mJjwgX'*p!#:$"1*Qg:Z#\*R&!#<7$$"1u[(\3:#)*p!#:$"1*Qg:Z#\*R&!#<7$$"1$e;L4u***p!#:$"1*Qg:Z#\*R&!#<7$$"1"He;5L<+(!#:$"1AfT#Q<%>W!#<7$$"*6#\.q!")$"1AfT#Q<%>W!#<7$$"1<MoE,,2q!#:$"1AfT#Q<%>W!#<7$$"1MoOV"G0,(!#:$"1AfT#Q<%>W!#<7$$"1oOtwTc<q!#:$"1AfT#Q<%>W!#<7$$"1.055-gCq!#:$"1AfT#Q<%>W!#<7$$"1v[(\3aE0(!#:$"1AfT#Q<%>W!#<7$$"1Z#\)fzq!3(!#:$"1AfT#Q<%>W!#<7$$"1D\)pn@%Qr!#:$"1AfT#Q<%>W!#<7$$"1hAX]fD*=(!#:$"1AfT#Q<%>W!#<7$$"2&e:J-L[Ys!#;$"1AfT#Q<%>W!#<7$$"0)e<Nc%RI(!#9$"1AfT#Q<%>W!#<7$$"16?SS7Kft!#:$"1AfT#Q<%>W!#<7$$"2a7D]f2'4u!#;$"1AfT#Q<%>W!#<7$$"1iBZMHSpu!#:$"1AfT#Q<%>W!#<7$$"1f<NIu0?v!#:$"1AfT#Q<%>W!#<7$$"1Gb5^1)*yv!#:$"1AfT#Q<%>W!#<7$$"1T"GcoP6j(!#:$"1AfT#Q<%>W!#<7$$"1CZ%*=AO)o(!#:$"1AfT#Q<%>W!#<7$$"1Fa32N&Gu(!#:$"1AfT#Q<%>W!#<7$$"1W([(\%4(*z(!#:$"1AfT#Q<%>W!#<7$$"1"4=O&4#>&y!#:$"1AfT#Q<%>W!#<7$$"1_.29"Q#3z!#:$"1AfT#Q<%>W!#<7$$"2C]+^'p[Pz!#;$"1AfT#Q<%>W!#<7$$"1a18;etmz!#:$"1AfT#Q<%>W!#<7$$"1jE`@kYzz!#:$"1AfT#Q<%>W!#<7$$"1uY$p-(>#*z!#:$"1AfT#Q<%>W!#<7$$"1x^Gy'z`*z!#:$"1AfT#Q<%>W!#<7$$"1zcjHBc)*z!#:$"1AfT#Q<%>W!#<7$$"0$4JbO:+!)!#9$"2Nq.Pq.Pq$!#=7$$"1#=')4)\u,!)!#:$"2Nq.Pq.Pq$!#=7$$"1L9m1jL.!)!#:$"2Nq.Pq.Pq$!#=7$$"1&oOBjF\+)!#:$"2Nq.Pq.Pq$!#=7$$"0pP]$HH6!)!#9$"2Nq.Pq.Pq$!#=7$$"1%pQxBew,)!#:$"2Nq.Pq.Pq$!#=7$$"/(RH/d^/)!#8$"2Nq.Pq.Pq$!#=7$$"1/29[els!)!#:$"2Nq.Pq.Pq$!#=7$$"1Hg?hPZH")!#:$"2Nq.Pq.Pq$!#=7$$"14;K/!f]=)!#:$"2Nq.Pq.Pq$!#=7$$"1ze<&eS)Q#)!#:$"2Nq.Pq.Pq$!#=7$$"0.17'eb)H)!#9$"2Nq.Pq.Pq$!#=7$$"1<Lm#p7AN)!#:$"2Nq.Pq.Pq$!#=7$$"1F`18G]4%)!#:$"2Nq.Pq.Pq$!#=7$$"1yc8xhTh%)!#:$"2Nq.Pq.Pq$!#=7$$"104='>r"=&)!#:$"2Nq.Pq.Pq$!#=7$$"1./3YKdr&)!#:$"2Nq.Pq.Pq$!#=7$$"1NmKvPRF')!#:$"2Nq.Pq.Pq$!#=7$$"1W'Gdao>o)!#:$"2Nq.Pq.Pq$!#=7$$"1mIhsK5R()!#:$"2Nq.Pq.Pq$!#=7$$"1KhA038%z)!#:$"2Nq.Pq.Pq$!#=7$$"1Fc70WS]))!#:$"2Nq.Pq.Pq$!#=7$$"1Kg?J?@1*)!#:$"2Nq.Pq.Pq$!#=7$$"1h?TPF&=$*)!#:$"2Nq.Pq.Pq$!#=7$$"1"4=OW$\d*)!#:$"2Nq.Pq.Pq$!#=7$$"1`-0:q=s*)!#:$"2Nq.Pq.Pq$!#=7$$"17C['e!)o)*)!#:$"2Nq.Pq.Pq$!#=7$$"0XS$zRb!**)!#9$"2Nq.Pq.Pq$!#=7$$"1"\)>stA%**)!#:$"2Nq.Pq.Pq$!#=7$$"16vioS1'**)!#:$"2Nq.Pq.Pq$!#=7$$"1Jl0l2!z**)!#:$"2Nq.Pq.Pq$!#=7$$"1_b[hut***)!#:$"2Nq.Pq.Pq$!#=7$$"1sX"z:u:+*!#:$"0Qo,mxA;$!#;7$$"1`1jV4#*3!*!#:$"0Qo,mxA;$!#;7$$"1LnMHxE;!*!#:$"0Qo,mxA;$!#;7$$"1e7DS>bU!*!#:$"0Qo,mxA;$!#;7$$"0yb6:O)o!*!#9$"0Qo,mxA;$!#;7$$"1zb6`])[7*!#:$"0Qo,mxA;$!#;7$$"0&)pR+J&y"*!#9$"0Qo,mxA;$!#;7$$"1`/4Qz4Q#*!#:$"0Qo,mxA;$!#;7$$"1/4=E&y'*G*!#:$"0Qo,mxA;$!#;7$$"1D^-bHA[$*!#:$"0Qo,mxA;$!#;7$$"1f;LY)z:S*!#:$"0Qo,mxA;$!#;7$$"0D]+!R%*f%*!#9$"0Qo,mxA;$!#;7$$"1*pRz?-.^*!#:$"0Qo,mxA;$!#;7$$"017CWawc*!#9$"0Qo,mxA;$!#;7$$"0uZ&pQ0B'*!#9$"0Qo,mxA;$!#;7$$"1"*yd0rTy'*!#:$"0Qo,mxA;$!#;7$$"1d7DqmdL(*!#:$"0Qo,mxA;$!#;7$$"0%ycVxc'y*!#9$"0Qo,mxA;$!#;7$$"1Kf=(\_Q%)*!#:$"0Qo,mxA;$!#;7$$"1y_0@!\%)*)*!#:$"0Qo,mxA;$!#;7$$"1LlIc"zr#**!#:$"0Qo,mxA;$!#;7$$"0zd:H4f&**!#9$"0Qo,mxA;$!#;7$$"1*zfp88*o**!#:$"0Qo,mxA;$!#;7$$"0"=O#)p">)**!#9$"0Qo,mxA;$!#;7$$"1:G10*=%))**!#:$"0Qo,mxA;$!#;7$$"0#QwF3#\***!#9$"0Qo,mxA;$!#;7$$"1s!R%3ja'***!#:$"0Qo,mxA;$!#;7$$"1BV6*yr")***!#:$"0Qo,mxA;$!#;7$$"1v&*ypsz****!#:$"0Qo,mxA;$!#;7$$"2E[Y]FU,+"!#:$"1:UVBA,TF!#<7$$"2H`"=rtY+5!#:$"1:UVBA,TF!#<7$$"1$e;tY#z+5!#9$"1:UVBA,TF!#<7$$"215?S!om.5!#:$"1:UVBA,TF!#<7$$"2#=OsS6a15!#:$"1:UVBA,TF!#<7$$"2x_0"ot/75!#:$"1:UVBA,TF!#<7$$"2&ze<$>Sv,"!#:$"1:UVBA,TF!#<7$$"2jD^-ZxK-"!#:$"1:UVBA,TF!#<7$$"2AU%)=rh&G5!#:$"1:UVBA,TF!#<7$$"2LlI")\tR."!#:$"1:UVBA,TF!#<7$$"2(Hf=`([*R5!#:$"1:UVBA,TF!#<7$$"2..1s&)e`/"!#:$"1:UVBA,TF!#<7$$"2MnM>q"*30"!#:$"1:UVBA,TF!#<7$$"2y`2DY=l0"!#:$"1:UVBA,TF!#<7$$"2`.2/b!ph5!#:$"1:UVBA,TF!#<7$$"2d6B'GQ?n5!#:$"1:UVBA,TF!#<7$$"2`.2%R^ns5!#:$"1:UVBA,TF!#<7$$"2:Gc7uF&y5!#:$"1:UVBA,TF!#<7$$"29Fa)3Cp$3"!#:$"1:UVBA,TF!#<7$$"2$Gc7j8l*3"!#:$"1:UVBA,TF!#<7$$"2MmK:6SB4"!#:$"1:UVBA,TF!#<7$$"2')pR*f)G]4"!#:$"1:UVBA,TF!#<7$$"2vYVz/fj4"!#:$"1:UVBA,TF!#<7$$"2iBZfB*o(4"!#:$"1:UVBA,TF!#<7$$"217\*HVN)4"!#:$"1:UVBA,TF!#<7$$"105&RU>!*4"!#9$"1:UVBA,TF!#<7$$"2s%>&4(>N*4"!#:$"1:UVBA,TF!#<7$$"2%*)G&z^%o*4"!#:$"1:UVBA,TF!#<7$$"2/O`9z])*4"!#:$"1:UVBA,TF!#<7$$"2:$Q&\1<+5"!#:$"2/WB;7EcS#!#=7$$"2EIa%QL=+6!#:$"2/WB;7EcS#!#=7$$"2Rxa>h\.5"!#:$"2/WB;7EcS#!#=7$$"2Je;3P5K5"!#:$"2/WB;7EcS#!#=7$$"2@Ry'H6216!#:$"2/WB;7EcS#!#=7$$"1.17#z:=6"!#9$"2/WB;7EcS#!#=7$$"2QtYVeUq6"!#:$"2/WB;7EcS#!#=7$$"1)e<b?$fA6!#9$"2/WB;7EcS#!#=7$$"2@V'Gp+,G6!#:$"2/WB;7EcS#!#=7$$"1%zen+#)Q8"!#9$"2/WB;7EcS#!#=7$$"27BY_'G'*Q6!#:$"2/WB;7EcS#!#=7$$"2NnMfT)zW6!#:$"2/WB;7EcS#!#=7$$"2V$oOSTG]6!#:$"2/WB;7EcS#!#=7$$"2sT$oyorb6!#:$"2/WB;7EcS#!#=7$$"2'>RyQR:h6!#:$"2/WB;7EcS#!#=7$$"1BY#fR*pm6!#9$"2/WB;7EcS#!#=7$$"2['Hf([xD<"!#:$"2/WB;7EcS#!#=7$$"28D]?7nz<"!#:$"2/WB;7EcS#!#=7$$"2#3;K$Q(G$="!#:$"2/WB;7EcS#!#=7$$"2;Ig]lu*)="!#:$"2/WB;7EcS#!#=7$$"2Y"He+@"=>"!#:$"2/WB;7EcS#!#=7$$"2w_0ha\Y>"!#:$"2/WB;7EcS#!#=7$$"2f9z&fr)f>"!#:$"2/WB;7EcS#!#=7$$"2Rw_IxCt>"!#:$"2/WB;7EcS#!#=7$$"1t&*yzN*z>"!#9$"2/WB;7EcS#!#=7$$"1#QElQi')>"!#9$"2/WB;7EcS#!#=7$$"2ky%*)*y'**)>"!#:$"2/WB;7EcS#!#=7$$"1">jK>J$*>"!#9$"2/WB;7EcS#!#=7$$"2MRZ\R)\*>"!#:$"2/WB;7EcS#!#=7$$"2cfJmfl'*>"!#:$"2/WB;7EcS#!#=7$$"2yz:$)zK)*>"!#:$"2/WB;7EcS#!#=7$$"$?"!""$"2#eR<$HiM8#!#=-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%*THICKNESSG6#""#-%%VIEWG6$;$"#5!""$"$?"!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#136"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$S&!""-%)BOUNDS_YG6#$"$q"!""-%-BOUNDS_WIDTHG6#$"%5L!""-%.BOUNDS_HEIGHTG6#$"%+L!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"Ig== Note que a curva em azul encontra-se entre as duas fun\303\247\303\265es degrau, em vermelho e amarelo. Se esta curva em azul compreende uma \303\241rea infinita, ent\303\243o o mesmo \303\251 verdade para a fun\303\247\303\243o degrau maior (amarelo), j\303\241 que esta \303\251 sempre maior ou igual \303\240 curva azul. Por outro lado, se a curva azul compreende uma \303\241rea finita, o mesmo acontece com a fun\303\247\303\243o degrau menor (vermelho). \303\211 uma id\303\251ia bastante simples. No entanto, a fun\303\247\303\243o degrau superior \303\251 igual a inferior deslocada de uma unidade para a direita. Em outras palavras, a fun\303\247\303\243o degrau superior \303\251 igual a inferior mais um termo adicional, a 1 = 1. Consequentemente, a s\303\251rie converge ou diverge de acordo com a integral.
Sum( f(k), k = 1..infinity): % = evalf(value(%));
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiRJImtHRigjISIkIiIjL0YrOyIiIkkpaW5maW5pdHlHRiYkIitcYFA3RSEiKg==
Int( f(x), x = 1..infinity): % = value(%);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLUkkSW50R0YlNiQqJEkieEdGKCMhIiQiIiMvRjE7IiIiSSlpbmZpbml0eUdGJkY0Ris=
Sum( f(k+1), k = 1..infinity): % = evalf(value(%));
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiQsJkkia0dGKCIiIkYtRi0jISIkIiIjL0YsO0YtSSlpbmZpbml0eUdGJiQiK1xgUDc7ISIq Neste caso, pode-se calcular efetivamente a integral e as somas. Note que todas convergem, embora sejam diferentes. O valor da integral encontra-se entre o valor das somas, de k = 1 .. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= e k = 2 .. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEoJmluZmluO0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic= - como verifica-se no gr\303\241fico acima. Portanto, a integral pode garantir a converg\303\252ncia ou diverg\303\252ncia, mas sem indicar seus valores exatos. Um resultado importante que segue diretamente do teste da integral \303\251 que, s\303\251ries da forma 1/ LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUklbXN1cEdGJDYlLUkjbWlHRiQ2JVEia0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYlUSJwRidGMkY1LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJw== convergem apenas quando p > 1, e divergem caso contr\303\241rio.
assume( q > 0); p := q + 1; Int( 1/x^p, x = 1..infinity ): % = value(%);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJwR0YoLCZJI3F8aXJHNiMvSSdfbG9jYWxHRiZJMF9uMjAxOTc0NTg3MTQ1NkdGKCIiIkY0RjQ3I0Yu LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLUkkSW50R0YlNiQqJClJInhHRigsJkkjcXxpckc2Iy9JJ19sb2NhbEdGJkkwX24yMDE5NzQ1ODcxNDU2R0YoIiIiRjlGOSEiIi9GMjtGOUkpaW5maW5pdHlHRiYqJEY0RjpGKw==
assume( q <= 0); p := q + 1; Int( 1/x^p, x = 1..infinity ): % = value(%);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJwR0YoLCZJI3F8aXJHNiMvSSdfbG9jYWxHRiZJMF9uMjAxOTczNjYzMTQ4OEdGKCIiIkY0RjQ3I0Yu LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyMvLUkkSW50R0YlNiQqJClJInhHRigsJkkjcXxpckc2Iy9JJ19sb2NhbEdGJkkwX24yMDE5NzM2NjMxNDg4R0YoIiIiRjlGOSEiIi9GMjtGOUkpaW5maW5pdHlHRiYsJComRj1GOUY0RjpGOkYr Note que a integral \303\251 finita quando p > 1, e infinita quando p =< 1.___________________________________________________________________________________ B. O Teste da Compara\303\247\303\243o ___________________________________________________________________________________ Outro teste importante \303\251 o Teste da Compara\303\247\303\243o. Uma vers\303\243o simplificada deste teste garante que, se a raz\303\243o dos termos de duas sequ\303\252ncias diferentes for finita, com limite for diferente de zero, ent\303\243o ambas convergem ou divergem. Analisaremos a efic\303\241cia deste teste sob o ponto de vista geom\303\251trico. Consideremos as tr\303\252s sequ\303\252ncias a seguir. Sabe-se que bk converge, enquanto ck diverge. Deseja-se saber se ak converve ou diverge.
a := n -> (3 + sqrt(n))/(n^2 - sqrt(n) + 5);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJhR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiYsJiIiJCIiIi1JJXNxcnRHRiU2IzkkRjdGNywoKiRGOyIiI0Y3RjghIiIiIiZGN0Y/RihGKEYoNyNGLg==
b := n -> n^(-3/2);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJiR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiQ5JCMhIiQiIiNGKEYoRig3I0Yu
c := n -> 1/n;
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJjR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiQ5JCEiIkYoRihGKDcjRi4= Observemos o que acontece graficamente. O gr\303\241fico vermelho representa ak , enquanto bk \303\251 azul e ck \303\251 verde.
plot( [a(floor(x)), b(floor(x)), c(floor(x)) ], x = 2..5, color = [red, blue,green]);
6,-%'CURVESG6$7dy7$$"#?!""$"1*fcdde!>e!#;7$$"1x`2:Gx:?!#:$"1*fcdde!>e!#;7$$"2$yc8dm\H?!#;$"1*fcdde!>e!#;7$$"1AV'GbI\/#!#:$"1*fcdde!>e!#;7$$"1iBZanYg?!#:$"1*fcdde!>e!#;7$$"238E_6Hf2#!#;$"1*fcdde!>e!#;7$$"1C['Hqk-4#!#:$"1*fcdde!>e!#;7$$"1$f=PP3^5#!#:$"1*fcdde!>e!#;7$$"28BY#>(f/7#!#;$"1*fcdde!>e!#;7$$"029G$=wN@!#9$"1*fcdde!>e!#;7$$"1Pu[P>]^@!#:$"1*fcdde!>e!#;7$$"1c7DIeOl@!#:$"1*fcdde!>e!#;7$$"1Y#\)*Gt4=#!#:$"1*fcdde!>e!#;7$$"2'ze<N[k'>#!#;$"1*fcdde!>e!#;7$$"1C['HFZ<@#!#:$"1*fcdde!>e!#;7$$"2Fe;LthaA#!#;$"1*fcdde!>e!#;7$$"2$He;`&p<C#!#;$"1*fcdde!>e!#;7$$"1#RycT%ebA!#:$"1*fcdde!>e!#;7$$"2X([(\Qa;F#!#;$"1*fcdde!>e!#;7$$"1pPvI!zeG#!#:$"1*fcdde!>e!#;7$$"29He;s&[,B!#;$"1*fcdde!>e!#;7$$"28Ig?)pM;B!#;$"1*fcdde!>e!#;7$$"117C[J&=L#!#:$"1*fcdde!>e!#;7$$"2C['H\E4YB!#;$"1*fcdde!>e!#;7$$"1sV([(=XhB!#:$"1*fcdde!>e!#;7$$"2.4=Oz0uP#!#;$"1*fcdde!>e!#;7$$"2%>RyEPH"R#!#;$"1*fcdde!>e!#;7$$"1x`2vIH1C!#:$"1*fcdde!>e!#;7$$"2&Qxap))y@C!#;$"1*fcdde!>e!#;7$$"2D`18[[pV#!#;$"1*fcdde!>e!#;7$$"2&ze<&=;;X#!#;$"1*fcdde!>e!#;7$$"2'Qxap@!zY#!#;$"1*fcdde!>e!#;7$$"29Fa3&e`#[#!#;$"1*fcdde!>e!#;7$$"2(Gd9H/;)\#!#;$"1*fcdde!>e!#;7$$"2NtY$>'=B^#!#;$"1*fcdde!>e!#;7$$"2D_/4E(zFD!#;$"1*fcdde!>e!#;7$$"2$e;Lc9OUD!#;$"1*fcdde!>e!#;7$$"1w^.P_edD!#:$"1*fcdde!>e!#;7$$"1LmKl#pCd#!#:$"1*fcdde!>e!#;7$$"2$Rycj90)e#!#;$"1*fcdde!>e!#;7$$"29JiC(*eIg#!#;$"1*fcdde!>e!#;7$$"2uW*)yJ1%=E!#;$"1*fcdde!>e!#;7$$"2(QxazliLE!#;$"1*fcdde!>e!#;7$$"2D['H>ChZE!#;$"1*fcdde!>e!#;7$$"2'[(\*p<kjE!#;$"1*fcdde!>e!#;7$$"2lIhAhyzn#!#;$"1*fcdde!>e!#;7$$"1h@VwYE$p#!#:$"1*fcdde!>e!#;7$$"2t],.R&*yq#!#;$"1*fcdde!>e!#;7$$"2Y%*)y<49CF!#;$"1*fcdde!>e!#;7$$"2D_/4N3#QF!#;$"1*fcdde!>e!#;7$$"1$e;L,vTv#!#:$"1*fcdde!>e!#;7$$"2$>Qw#*osoF!#;$"1*fcdde!>e!#;7$$"1*zf>OWYy#!#:$"1*fcdde!>e!#;7$$"2%['HfWy$)z#!#;$"1*fcdde!>e!#;7$$"226AW'*>S"G!#;$"1*fcdde!>e!#;7$$"2vZ&4**)G"HG!#;$"1*fcdde!>e!#;7$$"2mLnM'zAWG!#;$"1*fcdde!>e!#;7$$"2v_06[r#fG!#;$"1*fcdde!>e!#;7$$"2.05?fBP(G!#;$"1*fcdde!>e!#;7$$"1mJj1nM*)G!#:$"1*fcdde!>e!#;7$$"2CW)onmB/H!#;$"1*fcdde!>e!#;7$$"1kFb]w!*>H!#:$"1*fcdde!>e!#;7$$"1$f=Pm$4MH!#:$"1*fcdde!>e!#;7$$"1)f>R'=x\H!#:$"1*fcdde!>e!#;7$$"1U%)oZ))ykH!#:$"1*fcdde!>e!#;7$$"2D\)pz#p(zH!#;$"1*fcdde!>e!#;7$$"2PtY$RGf()H!#;$"1*fcdde!>e!#;7$$"1v\**)R;a*H!#:$"1*fcdde!>e!#;7$$"1#G1]%y@(*H!#:$"1*fcdde!>e!#;7$$"2%)e<5H>!**H!#;$"1*fcdde!>e!#;7$$"1:/__'p%**H!#:$"1*fcdde!>e!#;7$$"2;CBS,?***H!#;$"1*fcdde!>e!#;7$$"2#og_v.P+I!#;$"2ct>`#oCdQ!#<7$$"1&*)Gqt?3+$!#:$"2ct>`#oCdQ!#<7$$"1[X.g9s,I!#:$"2ct>`#oCdQ!#<7$$"28?SI=AE+$!#;$"2ct>`#oCdQ!#<7$$"2V"G1v]A1I!#;$"2ct>`#oCdQ!#<7$$"2tU&3nz#)4I!#;$"2ct>`#oCdQ!#<7$$"2`,.cn2s,$!#;$"2ct>`#oCdQ!#<7$$"2Kg?TQ(eCI!#;$"2ct>`#oCdQ!#<7$$"1d8FMN)3/$!#:$"2ct>`#oCdQ!#<7$$"2a3<MOQc0$!#;$"2ct>`#oCdQ!#<7$$"1\(\*RzsqI!#:$"2ct>`#oCdQ!#<7$$"1:Ig]O2'3$!#:$"2ct>`#oCdQ!#<7$$"1sV([Mz,5$!#:$"2ct>`#oCdQ!#<7$$"1b4>eb@:J!#:$"2ct>`#oCdQ!#<7$$"1sV([JP,8$!#:$"2ct>`#oCdQ!#<7$$"2sS"Gc*)4YJ!#;$"2ct>`#oCdQ!#<7$$"1MoO8W=gJ!#:$"2ct>`#oCdQ!#<7$$"22<Mo5Ok<$!#;$"2ct>`#oCdQ!#<7$$"1"=Os+-6>$!#:$"2ct>`#oCdQ!#<7$$"2tZ&4\Jh0K!#;$"2ct>`#oCdQ!#<7$$"2&3<M)G<7A$!#;$"2ct>`#oCdQ!#<7$$"2(Qxa\X)oB$!#;$"2ct>`#oCdQ!#<7$$"1'=PuVR6D$!#:$"2ct>`#oCdQ!#<7$$"2&ze<&\xiE$!#;$"2ct>`#oCdQ!#<7$$"2.+++w]5G$!#;$"2ct>`#oCdQ!#<7$$"1BY#\8lqH$!#:$"2ct>`#oCdQ!#<7$$"2Fa3<-A4J$!#;$"2ct>`#oCdQ!#<7$$"1\(\*fr$oK$!#:$"2ct>`#oCdQ!#<7$$"2X"HeE#)zTL!#;$"2ct>`#oCdQ!#<7$$"239Gcy9mN$!#;$"2ct>`#oCdQ!#<7$$"1%yc88V9P$!#:$"2ct>`#oCdQ!#<7$$"2W)oP0rc'Q$!#;$"2ct>`#oCdQ!#<7$$"2;OsWE)f-M!#;$"2ct>`#oCdQ!#<7$$"2&)oPvE(H<M!#;$"2ct>`#oCdQ!#<7$$"1D]+rq!=V$!#:$"2ct>`#oCdQ!#<7$$"2Db5@"yJZM!#;$"2ct>`#oCdQ!#<7$$"1U%)o(y%ziM!#:$"2ct>`#oCdQ!#<7$$"2%4=O#H'owM!#;$"2ct>`#oCdQ!#<7$$"1NqS"yTJ\$!#:$"2ct>`#oCdQ!#<7$$"1*yd:(4"p]$!#:$"2ct>`#oCdQ!#<7$$"21:Ige:I_$!#;$"2ct>`#oCdQ!#<7$$"0,-/)eQQN!#9$"2ct>`#oCdQ!#<7$$"2:JiCs4@b$!#;$"2ct>`#oCdQ!#<7$$"1b4>=OanN!#:$"2ct>`#oCdQ!#<7$$"2Y**)z>)zIe$!#;$"2ct>`#oCdQ!#<7$$"1kFb!=U&)f$!#:$"2ct>`#oCdQ!#<7$$"2sX"Hox(Gh$!#;$"2ct>`#oCdQ!#<7$$"1E_/R9sFO!#:$"2ct>`#oCdQ!#<7$$"1kGd%ysIk$!#:$"2ct>`#oCdQ!#<7$$"2MqS")*[PeO!#;$"2ct>`#oCdQ!#<7$$"2.29G+:Tn$!#;$"2ct>`#oCdQ!#<7$$"2%*)yd&*)yzo$!#;$"2ct>`#oCdQ!#<7$$"2%ze<bje.P!#;$"2ct>`#oCdQ!#<7$$"2C^-0!zD>P!#;$"2ct>`#oCdQ!#<7$$"1d9HQ.OMP!#:$"2ct>`#oCdQ!#<7$$"1;Kk)zu![P!#:$"2ct>`#oCdQ!#<7$$"1iC\=EQkP!#:$"2ct>`#oCdQ!#<7$$"2Z-05[(>yP!#;$"2ct>`#oCdQ!#<7$$"2x],.XnUz$!#;$"2ct>`#oCdQ!#<7$$"2;S!3'4#\3Q!#;$"2ct>`#oCdQ!#<7$$"2Y#\)py)4CQ!#;$"2ct>`#oCdQ!#<7$$"2X$pQZ+'*QQ!#;$"2ct>`#oCdQ!#<7$$"2%Ryc8iYaQ!#;$"2ct>`#oCdQ!#<7$$"2c6BYr0(oQ!#;$"2ct>`#oCdQ!#<7$$"105?S\1%)Q!#:$"2ct>`#oCdQ!#<7$$"2OsW*e)=+!R!#;$"2ct>`#oCdQ!#<7$$"1`06#z1R"R!#:$"2ct>`#oCdQ!#<7$$"2'4?SSh!*GR!#;$"2ct>`#oCdQ!#<7$$"2<Pu[$>SWR!#;$"2ct>`#oCdQ!#<7$$"1mJjY:cfR!#:$"2ct>`#oCdQ!#<7$$"2B^-0DHU(R!#;$"2ct>`#oCdQ!#<7$$"1U%)oUAP#)R!#:$"2ct>`#oCdQ!#<7$$"2=Pu[B:0*R!#;$"2ct>`#oCdQ!#<7$$"2X+,_ltT*R!#;$"2ct>`#oCdQ!#<7$$"2yjFb2Ky*R!#;$"2ct>`#oCdQ!#<7$$"2dH41oY()*R!#;$"2ct>`#oCdQ!#<7$$"1a4p&Gh'**R!#:$"2ct>`#oCdQ!#<7$$"1%yJ#)e=,+%!#:$"1@%ot%*y:j#!#;7$$"2Ehs2*ed+S!#;$"1@%ot%*y:j#!#;7$$"1TMJ$>L5+%!#:$"1@%ot%*y:j#!#;7$$"1rU&e\!\,S!#:$"1@%ot%*y:j#!#;7$$"1(e<gq>L+%!#:$"1@%ot%*y:j#!#;7$$"1/4=;*[^+%!#:$"1@%ot%*y:j#!#;7$$"1LmK07'H,%!#:$"1@%ot%*y:j#!#;7$$"1iBZ%\t2-%!#:$"1@%ot%*y:j#!#;7$$"1nLn%oJ\.%!#:$"1@%ot%*y:j#!#;7$$"1b6BE.T]S!#:$"1@%ot%*y:j#!#;7$$"1"He;_u\1%!#:$"1@%ot%*y:j#!#;7$$"0"=O-$)>!3%!#9$"1@%ot%*y:j#!#;7$$"1mKlIB3&4%!#:$"1@%ot%*y:j#!#;7$$"1tW*)GXm5T!#:$"1@%ot%*y:j#!#;7$$"1X*)yP?nDT!#:$"1@%ot%*y:j#!#;7$$"03;KQ>59%!#9$"1@%ot%*y:j#!#;7$$"1sV([kRi:%!#:$"1@%ot%*y:j#!#;7$$"1:Ji%[D-<%!#:$"1@%ot%*y:j#!#;7$$"1"Qw_$[D'=%!#:$"1@%ot%*y:j#!#;7$$"0%zex;f+U!#9$"1@%ot%*y:j#!#;7$$"1%ze<uxe@%!#:$"1@%ot%*y:j#!#;7$$"1T"GcX30B%!#:$"1@%ot%*y:j#!#;7$$"1yb6$)RvYU!#:$"1@%ot%*y:j#!#;7$$"1c6B;9#3E%!#:$"1@%ot%*y:j#!#;7$$"1;Kky!)ywU!#:$"1@%ot%*y:j#!#;7$$"1_/4e*R8H%!#:$"1@%ot%*y:j#!#;7$$"1KkGFuD2V!#:$"1@%ot%*y:j#!#;7$$"1"Gc7^"*4K%!#:$"1@%ot%*y:j#!#;7$$"1V([(HIjOV!#:$"1@%ot%*y:j#!#;7$$"16@Uk>u^V!#:$"1@%ot%*y:j#!#;7$$"0(RzG5%oO%!#9$"1@%ot%*y:j#!#;7$$"0;Kka%)=Q%!#9$"1@%ot%*y:j#!#;7$$"2OoOtlOjR%!#;$"1@%ot%*y:j#!#;7$$"1*zf>xf>T%!#:$"1@%ot%*y:j#!#;7$$"1v],L(\oU%!#:$"1@%ot%*y:j#!#;7$$"1(Rzer?DW%!#:$"1@%ot%*y:j#!#;7$$"2lAX!HnqcW!#;$"1@%ot%*y:j#!#;7$$"1JiCH\QsW!#:$"1@%ot%*y:j#!#;7$$"1v],8>S([%!#:$"1@%ot%*y:j#!#;7$$"1E^-XBQ-X!#:$"1@%ot%*y:j#!#;7$$"12;Kk%H!=X!#:$"1@%ot%*y:j#!#;7$$"017C.TC`%!#9$"1@%ot%*y:j#!#;7$$"1OsW\/?ZX!#:$"1@%ot%*y:j#!#;7$$"0*zf*f'\jX!#9$"1@%ot%*y:j#!#;7$$"1>PuG9DyX!#:$"1@%ot%*y:j#!#;7$$"1#Qw_+TLf%!#:$"1@%ot%*y:j#!#;7$$"2&['Hfr'o3Y!#;$"1@%ot%*y:j#!#;7$$"105?5CzAY!#:$"1@%ot%*y:j#!#;7$$"2&)e<NiGyj%!#;$"1@%ot%*y:j#!#;7$$"105?!Q]Fl%!#:$"1@%ot%*y:j#!#;7$$"0/3;-7(oY!#9$"1@%ot%*y:j#!#;7$$"1nMpyuz#o%!#:$"1@%ot%*y:j#!#;7$$"1.3;s"\!*p%!#:$"1@%ot%*y:j#!#;7$$"19Gcs]r8Z!#:$"1@%ot%*y:j#!#;7$$"216AW@E#GZ!#;$"1@%ot%*y:j#!#;7$$"1U$oONIQu%!#:$"1@%ot%*y:j#!#;7$$"2:Pu[h(\fZ!#;$"1@%ot%*y:j#!#;7$$"1>Qw-DvtZ!#:$"1@%ot%*y:j#!#;7$$"17D]g0*))y%!#:$"1@%ot%*y:j#!#;7$$"1LmKDQm.[!#:$"1@%ot%*y:j#!#;7$$"1c7D+#y'>[!#:$"1@%ot%*y:j#!#;7$$"1v^.(3NN$[!#:$"1@%ot%*y:j#!#;7$$"1#Qw_A]%\[!#:$"1@%ot%*y:j#!#;7$$"1[&4>H6W'[!#:$"1@%ot%*y:j#!#;7$$"2Nxa4&yAz[!#;$"1@%ot%*y:j#!#;7$$"1<Mo'>cS*[!#:$"1@%ot%*y:j#!#;7$$"1<Nqq,=4\!#:$"1@%ot%*y:j#!#;7$$"1%**)zH8@D\!#:$"1@%ot%*y:j#!#;7$$"1AV'GL5*R\!#:$"1@%ot%*y:j#!#;7$$"1e;LO,Ua\!#:$"1@%ot%*y:j#!#;7$$"1'=Pu(3$*p\!#:$"1@%ot%*y:j#!#;7$$"1JhAl$pw(\!#:$"1@%ot%*y:j#!#;7$$"1v],`yS&)\!#:$"1@%ot%*y:j#!#;7$$"128w*)e0*)\!#:$"1@%ot%*y:j#!#;7$$"1Qv]ERq#*\!#:$"1@%ot%*y:j#!#;7$$"1`1)[%z_%*\!#:$"1@%ot%*y:j#!#;7$$"1pPDj>N'*\!#:$"1@%ot%*y:j#!#;7$$"1F.WsRE(*\!#:$"1@%ot%*y:j#!#;7$$"2X)oi")f<)*\!#;$"1@%ot%*y:j#!#;7$$"1j,A')>j)*\!#:$"1@%ot%*y:j#!#;7$$"1UM"3*z3**\!#:$"1@%ot%*y:j#!#;7$$"1AnS&*Ra**\!#:$"1@%ot%*y:j#!#;7$$"#]!""$"2OJqc]Cf)=!#<-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7dy7$$"#?!""$"1QF$f!R`NN!#;7$$"1x`2:Gx:?!#:$"1QF$f!R`NN!#;7$$"2$yc8dm\H?!#;$"1QF$f!R`NN!#;7$$"1AV'GbI\/#!#:$"1QF$f!R`NN!#;7$$"1iBZanYg?!#:$"1QF$f!R`NN!#;7$$"238E_6Hf2#!#;$"1QF$f!R`NN!#;7$$"1C['Hqk-4#!#:$"1QF$f!R`NN!#;7$$"1$f=PP3^5#!#:$"1QF$f!R`NN!#;7$$"28BY#>(f/7#!#;$"1QF$f!R`NN!#;7$$"029G$=wN@!#9$"1QF$f!R`NN!#;7$$"1Pu[P>]^@!#:$"1QF$f!R`NN!#;7$$"1c7DIeOl@!#:$"1QF$f!R`NN!#;7$$"1Y#\)*Gt4=#!#:$"1QF$f!R`NN!#;7$$"2'ze<N[k'>#!#;$"1QF$f!R`NN!#;7$$"1C['HFZ<@#!#:$"1QF$f!R`NN!#;7$$"2Fe;LthaA#!#;$"1QF$f!R`NN!#;7$$"2$He;`&p<C#!#;$"1QF$f!R`NN!#;7$$"1#RycT%ebA!#:$"1QF$f!R`NN!#;7$$"2X([(\Qa;F#!#;$"1QF$f!R`NN!#;7$$"1pPvI!zeG#!#:$"1QF$f!R`NN!#;7$$"29He;s&[,B!#;$"1QF$f!R`NN!#;7$$"28Ig?)pM;B!#;$"1QF$f!R`NN!#;7$$"117C[J&=L#!#:$"1QF$f!R`NN!#;7$$"2C['H\E4YB!#;$"1QF$f!R`NN!#;7$$"1sV([(=XhB!#:$"1QF$f!R`NN!#;7$$"2.4=Oz0uP#!#;$"1QF$f!R`NN!#;7$$"2%>RyEPH"R#!#;$"1QF$f!R`NN!#;7$$"1x`2vIH1C!#:$"1QF$f!R`NN!#;7$$"2&Qxap))y@C!#;$"1QF$f!R`NN!#;7$$"2D`18[[pV#!#;$"1QF$f!R`NN!#;7$$"2&ze<&=;;X#!#;$"1QF$f!R`NN!#;7$$"2'Qxap@!zY#!#;$"1QF$f!R`NN!#;7$$"29Fa3&e`#[#!#;$"1QF$f!R`NN!#;7$$"2(Gd9H/;)\#!#;$"1QF$f!R`NN!#;7$$"2NtY$>'=B^#!#;$"1QF$f!R`NN!#;7$$"2D_/4E(zFD!#;$"1QF$f!R`NN!#;7$$"2$e;Lc9OUD!#;$"1QF$f!R`NN!#;7$$"1w^.P_edD!#:$"1QF$f!R`NN!#;7$$"1LmKl#pCd#!#:$"1QF$f!R`NN!#;7$$"2$Rycj90)e#!#;$"1QF$f!R`NN!#;7$$"29JiC(*eIg#!#;$"1QF$f!R`NN!#;7$$"2uW*)yJ1%=E!#;$"1QF$f!R`NN!#;7$$"2(QxazliLE!#;$"1QF$f!R`NN!#;7$$"2D['H>ChZE!#;$"1QF$f!R`NN!#;7$$"2'[(\*p<kjE!#;$"1QF$f!R`NN!#;7$$"2lIhAhyzn#!#;$"1QF$f!R`NN!#;7$$"1h@VwYE$p#!#:$"1QF$f!R`NN!#;7$$"2t],.R&*yq#!#;$"1QF$f!R`NN!#;7$$"2Y%*)y<49CF!#;$"1QF$f!R`NN!#;7$$"2D_/4N3#QF!#;$"1QF$f!R`NN!#;7$$"1$e;L,vTv#!#:$"1QF$f!R`NN!#;7$$"2$>Qw#*osoF!#;$"1QF$f!R`NN!#;7$$"1*zf>OWYy#!#:$"1QF$f!R`NN!#;7$$"2%['HfWy$)z#!#;$"1QF$f!R`NN!#;7$$"226AW'*>S"G!#;$"1QF$f!R`NN!#;7$$"2vZ&4**)G"HG!#;$"1QF$f!R`NN!#;7$$"2mLnM'zAWG!#;$"1QF$f!R`NN!#;7$$"2v_06[r#fG!#;$"1QF$f!R`NN!#;7$$"2.05?fBP(G!#;$"1QF$f!R`NN!#;7$$"1mJj1nM*)G!#:$"1QF$f!R`NN!#;7$$"2CW)onmB/H!#;$"1QF$f!R`NN!#;7$$"1kFb]w!*>H!#:$"1QF$f!R`NN!#;7$$"1$f=Pm$4MH!#:$"1QF$f!R`NN!#;7$$"1)f>R'=x\H!#:$"1QF$f!R`NN!#;7$$"1U%)oZ))ykH!#:$"1QF$f!R`NN!#;7$$"2D\)pz#p(zH!#;$"1QF$f!R`NN!#;7$$"2PtY$RGf()H!#;$"1QF$f!R`NN!#;7$$"1v\**)R;a*H!#:$"1QF$f!R`NN!#;7$$"1#G1]%y@(*H!#:$"1QF$f!R`NN!#;7$$"2%)e<5H>!**H!#;$"1QF$f!R`NN!#;7$$"1:/__'p%**H!#:$"1QF$f!R`NN!#;7$$"2;CBS,?***H!#;$"1QF$f!R`NN!#;7$$"2#og_v.P+I!#;$"2Bv)H(*3]C>!#<7$$"1&*)Gqt?3+$!#:$"2Bv)H(*3]C>!#<7$$"1[X.g9s,I!#:$"2Bv)H(*3]C>!#<7$$"28?SI=AE+$!#;$"2Bv)H(*3]C>!#<7$$"2V"G1v]A1I!#;$"2Bv)H(*3]C>!#<7$$"2tU&3nz#)4I!#;$"2Bv)H(*3]C>!#<7$$"2`,.cn2s,$!#;$"2Bv)H(*3]C>!#<7$$"2Kg?TQ(eCI!#;$"2Bv)H(*3]C>!#<7$$"1d8FMN)3/$!#:$"2Bv)H(*3]C>!#<7$$"2a3<MOQc0$!#;$"2Bv)H(*3]C>!#<7$$"1\(\*RzsqI!#:$"2Bv)H(*3]C>!#<7$$"1:Ig]O2'3$!#:$"2Bv)H(*3]C>!#<7$$"1sV([Mz,5$!#:$"2Bv)H(*3]C>!#<7$$"1b4>eb@:J!#:$"2Bv)H(*3]C>!#<7$$"1sV([JP,8$!#:$"2Bv)H(*3]C>!#<7$$"2sS"Gc*)4YJ!#;$"2Bv)H(*3]C>!#<7$$"1MoO8W=gJ!#:$"2Bv)H(*3]C>!#<7$$"22<Mo5Ok<$!#;$"2Bv)H(*3]C>!#<7$$"1"=Os+-6>$!#:$"2Bv)H(*3]C>!#<7$$"2tZ&4\Jh0K!#;$"2Bv)H(*3]C>!#<7$$"2&3<M)G<7A$!#;$"2Bv)H(*3]C>!#<7$$"2(Qxa\X)oB$!#;$"2Bv)H(*3]C>!#<7$$"1'=PuVR6D$!#:$"2Bv)H(*3]C>!#<7$$"2&ze<&\xiE$!#;$"2Bv)H(*3]C>!#<7$$"2.+++w]5G$!#;$"2Bv)H(*3]C>!#<7$$"1BY#\8lqH$!#:$"2Bv)H(*3]C>!#<7$$"2Fa3<-A4J$!#;$"2Bv)H(*3]C>!#<7$$"1\(\*fr$oK$!#:$"2Bv)H(*3]C>!#<7$$"2X"HeE#)zTL!#;$"2Bv)H(*3]C>!#<7$$"239Gcy9mN$!#;$"2Bv)H(*3]C>!#<7$$"1%yc88V9P$!#:$"2Bv)H(*3]C>!#<7$$"2W)oP0rc'Q$!#;$"2Bv)H(*3]C>!#<7$$"2;OsWE)f-M!#;$"2Bv)H(*3]C>!#<7$$"2&)oPvE(H<M!#;$"2Bv)H(*3]C>!#<7$$"1D]+rq!=V$!#:$"2Bv)H(*3]C>!#<7$$"2Db5@"yJZM!#;$"2Bv)H(*3]C>!#<7$$"1U%)o(y%ziM!#:$"2Bv)H(*3]C>!#<7$$"2%4=O#H'owM!#;$"2Bv)H(*3]C>!#<7$$"1NqS"yTJ\$!#:$"2Bv)H(*3]C>!#<7$$"1*yd:(4"p]$!#:$"2Bv)H(*3]C>!#<7$$"21:Ige:I_$!#;$"2Bv)H(*3]C>!#<7$$"0,-/)eQQN!#9$"2Bv)H(*3]C>!#<7$$"2:JiCs4@b$!#;$"2Bv)H(*3]C>!#<7$$"1b4>=OanN!#:$"2Bv)H(*3]C>!#<7$$"2Y**)z>)zIe$!#;$"2Bv)H(*3]C>!#<7$$"1kFb!=U&)f$!#:$"2Bv)H(*3]C>!#<7$$"2sX"Hox(Gh$!#;$"2Bv)H(*3]C>!#<7$$"1E_/R9sFO!#:$"2Bv)H(*3]C>!#<7$$"1kGd%ysIk$!#:$"2Bv)H(*3]C>!#<7$$"2MqS")*[PeO!#;$"2Bv)H(*3]C>!#<7$$"2.29G+:Tn$!#;$"2Bv)H(*3]C>!#<7$$"2%*)yd&*)yzo$!#;$"2Bv)H(*3]C>!#<7$$"2%ze<bje.P!#;$"2Bv)H(*3]C>!#<7$$"2C^-0!zD>P!#;$"2Bv)H(*3]C>!#<7$$"1d9HQ.OMP!#:$"2Bv)H(*3]C>!#<7$$"1;Kk)zu![P!#:$"2Bv)H(*3]C>!#<7$$"1iC\=EQkP!#:$"2Bv)H(*3]C>!#<7$$"2Z-05[(>yP!#;$"2Bv)H(*3]C>!#<7$$"2x],.XnUz$!#;$"2Bv)H(*3]C>!#<7$$"2;S!3'4#\3Q!#;$"2Bv)H(*3]C>!#<7$$"2Y#\)py)4CQ!#;$"2Bv)H(*3]C>!#<7$$"2X$pQZ+'*QQ!#;$"2Bv)H(*3]C>!#<7$$"2%Ryc8iYaQ!#;$"2Bv)H(*3]C>!#<7$$"2c6BYr0(oQ!#;$"2Bv)H(*3]C>!#<7$$"105?S\1%)Q!#:$"2Bv)H(*3]C>!#<7$$"2OsW*e)=+!R!#;$"2Bv)H(*3]C>!#<7$$"1`06#z1R"R!#:$"2Bv)H(*3]C>!#<7$$"2'4?SSh!*GR!#;$"2Bv)H(*3]C>!#<7$$"2<Pu[$>SWR!#;$"2Bv)H(*3]C>!#<7$$"1mJjY:cfR!#:$"2Bv)H(*3]C>!#<7$$"2B^-0DHU(R!#;$"2Bv)H(*3]C>!#<7$$"1U%)oUAP#)R!#:$"2Bv)H(*3]C>!#<7$$"2=Pu[B:0*R!#;$"2Bv)H(*3]C>!#<7$$"2X+,_ltT*R!#;$"2Bv)H(*3]C>!#<7$$"2yjFb2Ky*R!#;$"2Bv)H(*3]C>!#<7$$"2dH41oY()*R!#;$"2Bv)H(*3]C>!#<7$$"1a4p&Gh'**R!#:$"2Bv)H(*3]C>!#<7$$"1%yJ#)e=,+%!#:$"$D"!"$7$$"2Ehs2*ed+S!#;$"$D"!"$7$$"1TMJ$>L5+%!#:$"$D"!"$7$$"1rU&e\!\,S!#:$"$D"!"$7$$"1(e<gq>L+%!#:$"$D"!"$7$$"1/4=;*[^+%!#:$"$D"!"$7$$"1LmK07'H,%!#:$"$D"!"$7$$"1iBZ%\t2-%!#:$"$D"!"$7$$"1nLn%oJ\.%!#:$"$D"!"$7$$"1b6BE.T]S!#:$"$D"!"$7$$"1"He;_u\1%!#:$"$D"!"$7$$"0"=O-$)>!3%!#9$"$D"!"$7$$"1mKlIB3&4%!#:$"$D"!"$7$$"1tW*)GXm5T!#:$"$D"!"$7$$"1X*)yP?nDT!#:$"$D"!"$7$$"03;KQ>59%!#9$"$D"!"$7$$"1sV([kRi:%!#:$"$D"!"$7$$"1:Ji%[D-<%!#:$"$D"!"$7$$"1"Qw_$[D'=%!#:$"$D"!"$7$$"0%zex;f+U!#9$"$D"!"$7$$"1%ze<uxe@%!#:$"$D"!"$7$$"1T"GcX30B%!#:$"$D"!"$7$$"1yb6$)RvYU!#:$"$D"!"$7$$"1c6B;9#3E%!#:$"$D"!"$7$$"1;Kky!)ywU!#:$"$D"!"$7$$"1_/4e*R8H%!#:$"$D"!"$7$$"1KkGFuD2V!#:$"$D"!"$7$$"1"Gc7^"*4K%!#:$"$D"!"$7$$"1V([(HIjOV!#:$"$D"!"$7$$"16@Uk>u^V!#:$"$D"!"$7$$"0(RzG5%oO%!#9$"$D"!"$7$$"0;Kka%)=Q%!#9$"$D"!"$7$$"2OoOtlOjR%!#;$"$D"!"$7$$"1*zf>xf>T%!#:$"$D"!"$7$$"1v],L(\oU%!#:$"$D"!"$7$$"1(Rzer?DW%!#:$"$D"!"$7$$"2lAX!HnqcW!#;$"$D"!"$7$$"1JiCH\QsW!#:$"$D"!"$7$$"1v],8>S([%!#:$"$D"!"$7$$"1E^-XBQ-X!#:$"$D"!"$7$$"12;Kk%H!=X!#:$"$D"!"$7$$"017C.TC`%!#9$"$D"!"$7$$"1OsW\/?ZX!#:$"$D"!"$7$$"0*zf*f'\jX!#9$"$D"!"$7$$"1>PuG9DyX!#:$"$D"!"$7$$"1#Qw_+TLf%!#:$"$D"!"$7$$"2&['Hfr'o3Y!#;$"$D"!"$7$$"105?5CzAY!#:$"$D"!"$7$$"2&)e<NiGyj%!#;$"$D"!"$7$$"105?!Q]Fl%!#:$"$D"!"$7$$"0/3;-7(oY!#9$"$D"!"$7$$"1nMpyuz#o%!#:$"$D"!"$7$$"1.3;s"\!*p%!#:$"$D"!"$7$$"19Gcs]r8Z!#:$"$D"!"$7$$"216AW@E#GZ!#;$"$D"!"$7$$"1U$oONIQu%!#:$"$D"!"$7$$"2:Pu[h(\fZ!#;$"$D"!"$7$$"1>Qw-DvtZ!#:$"$D"!"$7$$"17D]g0*))y%!#:$"$D"!"$7$$"1LmKDQm.[!#:$"$D"!"$7$$"1c7D+#y'>[!#:$"$D"!"$7$$"1v^.(3NN$[!#:$"$D"!"$7$$"1#Qw_A]%\[!#:$"$D"!"$7$$"1[&4>H6W'[!#:$"$D"!"$7$$"2Nxa4&yAz[!#;$"$D"!"$7$$"1<Mo'>cS*[!#:$"$D"!"$7$$"1<Nqq,=4\!#:$"$D"!"$7$$"1%**)zH8@D\!#:$"$D"!"$7$$"1AV'GL5*R\!#:$"$D"!"$7$$"1e;LO,Ua\!#:$"$D"!"$7$$"1'=Pu(3$*p\!#:$"$D"!"$7$$"1JhAl$pw(\!#:$"$D"!"$7$$"1v],`yS&)\!#:$"$D"!"$7$$"128w*)e0*)\!#:$"$D"!"$7$$"1Qv]ERq#*\!#:$"$D"!"$7$$"1`1)[%z_%*\!#:$"$D"!"$7$$"1pPDj>N'*\!#:$"$D"!"$7$$"1F.WsRE(*\!#:$"$D"!"$7$$"2X)oi")f<)*\!#;$"$D"!"$7$$"1j,A')>j)*\!#:$"$D"!"$7$$"1UM"3*z3**\!#:$"$D"!"$7$$"1AnS&*Ra**\!#:$"$D"!"$7$$"#]!""$"0;***4>FW*)!#;-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7dy7$$"#?!""$""&!""7$$"1x`2:Gx:?!#:$""&!""7$$"2$yc8dm\H?!#;$""&!""7$$"1AV'GbI\/#!#:$""&!""7$$"1iBZanYg?!#:$""&!""7$$"238E_6Hf2#!#;$""&!""7$$"1C['Hqk-4#!#:$""&!""7$$"1$f=PP3^5#!#:$""&!""7$$"28BY#>(f/7#!#;$""&!""7$$"029G$=wN@!#9$""&!""7$$"1Pu[P>]^@!#:$""&!""7$$"1c7DIeOl@!#:$""&!""7$$"1Y#\)*Gt4=#!#:$""&!""7$$"2'ze<N[k'>#!#;$""&!""7$$"1C['HFZ<@#!#:$""&!""7$$"2Fe;LthaA#!#;$""&!""7$$"2$He;`&p<C#!#;$""&!""7$$"1#RycT%ebA!#:$""&!""7$$"2X([(\Qa;F#!#;$""&!""7$$"1pPvI!zeG#!#:$""&!""7$$"29He;s&[,B!#;$""&!""7$$"28Ig?)pM;B!#;$""&!""7$$"117C[J&=L#!#:$""&!""7$$"2C['H\E4YB!#;$""&!""7$$"1sV([(=XhB!#:$""&!""7$$"2.4=Oz0uP#!#;$""&!""7$$"2%>RyEPH"R#!#;$""&!""7$$"1x`2vIH1C!#:$""&!""7$$"2&Qxap))y@C!#;$""&!""7$$"2D`18[[pV#!#;$""&!""7$$"2&ze<&=;;X#!#;$""&!""7$$"2'Qxap@!zY#!#;$""&!""7$$"29Fa3&e`#[#!#;$""&!""7$$"2(Gd9H/;)\#!#;$""&!""7$$"2NtY$>'=B^#!#;$""&!""7$$"2D_/4E(zFD!#;$""&!""7$$"2$e;Lc9OUD!#;$""&!""7$$"1w^.P_edD!#:$""&!""7$$"1LmKl#pCd#!#:$""&!""7$$"2$Rycj90)e#!#;$""&!""7$$"29JiC(*eIg#!#;$""&!""7$$"2uW*)yJ1%=E!#;$""&!""7$$"2(QxazliLE!#;$""&!""7$$"2D['H>ChZE!#;$""&!""7$$"2'[(\*p<kjE!#;$""&!""7$$"2lIhAhyzn#!#;$""&!""7$$"1h@VwYE$p#!#:$""&!""7$$"2t],.R&*yq#!#;$""&!""7$$"2Y%*)y<49CF!#;$""&!""7$$"2D_/4N3#QF!#;$""&!""7$$"1$e;L,vTv#!#:$""&!""7$$"2$>Qw#*osoF!#;$""&!""7$$"1*zf>OWYy#!#:$""&!""7$$"2%['HfWy$)z#!#;$""&!""7$$"226AW'*>S"G!#;$""&!""7$$"2vZ&4**)G"HG!#;$""&!""7$$"2mLnM'zAWG!#;$""&!""7$$"2v_06[r#fG!#;$""&!""7$$"2.05?fBP(G!#;$""&!""7$$"1mJj1nM*)G!#:$""&!""7$$"2CW)onmB/H!#;$""&!""7$$"1kFb]w!*>H!#:$""&!""7$$"1$f=Pm$4MH!#:$""&!""7$$"1)f>R'=x\H!#:$""&!""7$$"1U%)oZ))ykH!#:$""&!""7$$"2D\)pz#p(zH!#;$""&!""7$$"2PtY$RGf()H!#;$""&!""7$$"1v\**)R;a*H!#:$""&!""7$$"1#G1]%y@(*H!#:$""&!""7$$"2%)e<5H>!**H!#;$""&!""7$$"1:/__'p%**H!#:$""&!""7$$"2;CBS,?***H!#;$""&!""7$$"2#og_v.P+I!#;$"1LLLLLLLL!#;7$$"1&*)Gqt?3+$!#:$"1LLLLLLLL!#;7$$"1[X.g9s,I!#:$"1LLLLLLLL!#;7$$"28?SI=AE+$!#;$"1LLLLLLLL!#;7$$"2V"G1v]A1I!#;$"1LLLLLLLL!#;7$$"2tU&3nz#)4I!#;$"1LLLLLLLL!#;7$$"2`,.cn2s,$!#;$"1LLLLLLLL!#;7$$"2Kg?TQ(eCI!#;$"1LLLLLLLL!#;7$$"1d8FMN)3/$!#:$"1LLLLLLLL!#;7$$"2a3<MOQc0$!#;$"1LLLLLLLL!#;7$$"1\(\*RzsqI!#:$"1LLLLLLLL!#;7$$"1:Ig]O2'3$!#:$"1LLLLLLLL!#;7$$"1sV([Mz,5$!#:$"1LLLLLLLL!#;7$$"1b4>eb@:J!#:$"1LLLLLLLL!#;7$$"1sV([JP,8$!#:$"1LLLLLLLL!#;7$$"2sS"Gc*)4YJ!#;$"1LLLLLLLL!#;7$$"1MoO8W=gJ!#:$"1LLLLLLLL!#;7$$"22<Mo5Ok<$!#;$"1LLLLLLLL!#;7$$"1"=Os+-6>$!#:$"1LLLLLLLL!#;7$$"2tZ&4\Jh0K!#;$"1LLLLLLLL!#;7$$"2&3<M)G<7A$!#;$"1LLLLLLLL!#;7$$"2(Qxa\X)oB$!#;$"1LLLLLLLL!#;7$$"1'=PuVR6D$!#:$"1LLLLLLLL!#;7$$"2&ze<&\xiE$!#;$"1LLLLLLLL!#;7$$"2.+++w]5G$!#;$"1LLLLLLLL!#;7$$"1BY#\8lqH$!#:$"1LLLLLLLL!#;7$$"2Fa3<-A4J$!#;$"1LLLLLLLL!#;7$$"1\(\*fr$oK$!#:$"1LLLLLLLL!#;7$$"2X"HeE#)zTL!#;$"1LLLLLLLL!#;7$$"239Gcy9mN$!#;$"1LLLLLLLL!#;7$$"1%yc88V9P$!#:$"1LLLLLLLL!#;7$$"2W)oP0rc'Q$!#;$"1LLLLLLLL!#;7$$"2;OsWE)f-M!#;$"1LLLLLLLL!#;7$$"2&)oPvE(H<M!#;$"1LLLLLLLL!#;7$$"1D]+rq!=V$!#:$"1LLLLLLLL!#;7$$"2Db5@"yJZM!#;$"1LLLLLLLL!#;7$$"1U%)o(y%ziM!#:$"1LLLLLLLL!#;7$$"2%4=O#H'owM!#;$"1LLLLLLLL!#;7$$"1NqS"yTJ\$!#:$"1LLLLLLLL!#;7$$"1*yd:(4"p]$!#:$"1LLLLLLLL!#;7$$"21:Ige:I_$!#;$"1LLLLLLLL!#;7$$"0,-/)eQQN!#9$"1LLLLLLLL!#;7$$"2:JiCs4@b$!#;$"1LLLLLLLL!#;7$$"1b4>=OanN!#:$"1LLLLLLLL!#;7$$"2Y**)z>)zIe$!#;$"1LLLLLLLL!#;7$$"1kFb!=U&)f$!#:$"1LLLLLLLL!#;7$$"2sX"Hox(Gh$!#;$"1LLLLLLLL!#;7$$"1E_/R9sFO!#:$"1LLLLLLLL!#;7$$"1kGd%ysIk$!#:$"1LLLLLLLL!#;7$$"2MqS")*[PeO!#;$"1LLLLLLLL!#;7$$"2.29G+:Tn$!#;$"1LLLLLLLL!#;7$$"2%*)yd&*)yzo$!#;$"1LLLLLLLL!#;7$$"2%ze<bje.P!#;$"1LLLLLLLL!#;7$$"2C^-0!zD>P!#;$"1LLLLLLLL!#;7$$"1d9HQ.OMP!#:$"1LLLLLLLL!#;7$$"1;Kk)zu![P!#:$"1LLLLLLLL!#;7$$"1iC\=EQkP!#:$"1LLLLLLLL!#;7$$"2Z-05[(>yP!#;$"1LLLLLLLL!#;7$$"2x],.XnUz$!#;$"1LLLLLLLL!#;7$$"2;S!3'4#\3Q!#;$"1LLLLLLLL!#;7$$"2Y#\)py)4CQ!#;$"1LLLLLLLL!#;7$$"2X$pQZ+'*QQ!#;$"1LLLLLLLL!#;7$$"2%Ryc8iYaQ!#;$"1LLLLLLLL!#;7$$"2c6BYr0(oQ!#;$"1LLLLLLLL!#;7$$"105?S\1%)Q!#:$"1LLLLLLLL!#;7$$"2OsW*e)=+!R!#;$"1LLLLLLLL!#;7$$"1`06#z1R"R!#:$"1LLLLLLLL!#;7$$"2'4?SSh!*GR!#;$"1LLLLLLLL!#;7$$"2<Pu[$>SWR!#;$"1LLLLLLLL!#;7$$"1mJjY:cfR!#:$"1LLLLLLLL!#;7$$"2B^-0DHU(R!#;$"1LLLLLLLL!#;7$$"1U%)oUAP#)R!#:$"1LLLLLLLL!#;7$$"2=Pu[B:0*R!#;$"1LLLLLLLL!#;7$$"2X+,_ltT*R!#;$"1LLLLLLLL!#;7$$"2yjFb2Ky*R!#;$"1LLLLLLLL!#;7$$"2dH41oY()*R!#;$"1LLLLLLLL!#;7$$"1a4p&Gh'**R!#:$"1LLLLLLLL!#;7$$"1%yJ#)e=,+%!#:$"#D!"#7$$"2Ehs2*ed+S!#;$"#D!"#7$$"1TMJ$>L5+%!#:$"#D!"#7$$"1rU&e\!\,S!#:$"#D!"#7$$"1(e<gq>L+%!#:$"#D!"#7$$"1/4=;*[^+%!#:$"#D!"#7$$"1LmK07'H,%!#:$"#D!"#7$$"1iBZ%\t2-%!#:$"#D!"#7$$"1nLn%oJ\.%!#:$"#D!"#7$$"1b6BE.T]S!#:$"#D!"#7$$"1"He;_u\1%!#:$"#D!"#7$$"0"=O-$)>!3%!#9$"#D!"#7$$"1mKlIB3&4%!#:$"#D!"#7$$"1tW*)GXm5T!#:$"#D!"#7$$"1X*)yP?nDT!#:$"#D!"#7$$"03;KQ>59%!#9$"#D!"#7$$"1sV([kRi:%!#:$"#D!"#7$$"1:Ji%[D-<%!#:$"#D!"#7$$"1"Qw_$[D'=%!#:$"#D!"#7$$"0%zex;f+U!#9$"#D!"#7$$"1%ze<uxe@%!#:$"#D!"#7$$"1T"GcX30B%!#:$"#D!"#7$$"1yb6$)RvYU!#:$"#D!"#7$$"1c6B;9#3E%!#:$"#D!"#7$$"1;Kky!)ywU!#:$"#D!"#7$$"1_/4e*R8H%!#:$"#D!"#7$$"1KkGFuD2V!#:$"#D!"#7$$"1"Gc7^"*4K%!#:$"#D!"#7$$"1V([(HIjOV!#:$"#D!"#7$$"16@Uk>u^V!#:$"#D!"#7$$"0(RzG5%oO%!#9$"#D!"#7$$"0;Kka%)=Q%!#9$"#D!"#7$$"2OoOtlOjR%!#;$"#D!"#7$$"1*zf>xf>T%!#:$"#D!"#7$$"1v],L(\oU%!#:$"#D!"#7$$"1(Rzer?DW%!#:$"#D!"#7$$"2lAX!HnqcW!#;$"#D!"#7$$"1JiCH\QsW!#:$"#D!"#7$$"1v],8>S([%!#:$"#D!"#7$$"1E^-XBQ-X!#:$"#D!"#7$$"12;Kk%H!=X!#:$"#D!"#7$$"017C.TC`%!#9$"#D!"#7$$"1OsW\/?ZX!#:$"#D!"#7$$"0*zf*f'\jX!#9$"#D!"#7$$"1>PuG9DyX!#:$"#D!"#7$$"1#Qw_+TLf%!#:$"#D!"#7$$"2&['Hfr'o3Y!#;$"#D!"#7$$"105?5CzAY!#:$"#D!"#7$$"2&)e<NiGyj%!#;$"#D!"#7$$"105?!Q]Fl%!#:$"#D!"#7$$"0/3;-7(oY!#9$"#D!"#7$$"1nMpyuz#o%!#:$"#D!"#7$$"1.3;s"\!*p%!#:$"#D!"#7$$"19Gcs]r8Z!#:$"#D!"#7$$"216AW@E#GZ!#;$"#D!"#7$$"1U$oONIQu%!#:$"#D!"#7$$"2:Pu[h(\fZ!#;$"#D!"#7$$"1>Qw-DvtZ!#:$"#D!"#7$$"17D]g0*))y%!#:$"#D!"#7$$"1LmKDQm.[!#:$"#D!"#7$$"1c7D+#y'>[!#:$"#D!"#7$$"1v^.(3NN$[!#:$"#D!"#7$$"1#Qw_A]%\[!#:$"#D!"#7$$"1[&4>H6W'[!#:$"#D!"#7$$"2Nxa4&yAz[!#;$"#D!"#7$$"1<Mo'>cS*[!#:$"#D!"#7$$"1<Nqq,=4\!#:$"#D!"#7$$"1%**)zH8@D\!#:$"#D!"#7$$"1AV'GL5*R\!#:$"#D!"#7$$"1e;LO,Ua\!#:$"#D!"#7$$"1'=Pu(3$*p\!#:$"#D!"#7$$"1JhAl$pw(\!#:$"#D!"#7$$"1v],`yS&)\!#:$"#D!"#7$$"128w*)e0*)\!#:$"#D!"#7$$"1Qv]ERq#*\!#:$"#D!"#7$$"1`1)[%z_%*\!#:$"#D!"#7$$"1pPDj>N'*\!#:$"#D!"#7$$"1F.WsRE(*\!#:$"#D!"#7$$"2X)oi")f<)*\!#;$"#D!"#7$$"1j,A')>j)*\!#:$"#D!"#7$$"1UM"3*z3**\!#:$"#D!"#7$$"1AnS&*Ra**\!#:$"#D!"#7$$"#]!""$""#!""-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%%VIEWG6$;$"#?!""$"#]!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#136"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$S&!""-%)BOUNDS_YG6#$"#q!""-%-BOUNDS_WIDTHG6#$"%gL!""-%.BOUNDS_HEIGHTG6#$"%5M!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"NiI= Pelo gr\303\241fico, observa-se que ak \303\251 maior que bk e ck . Se ck diverge, ent\303\243o ak deve divergir tamb\303\251m!
plot( [a(floor(x)), b(floor(x)), c(floor(x)) ], x = 5..20, color = [red, blue,green]);
6,-%'CURVESG6$7hal7$$"#]!""$"2OJqc]Cf)=!#<7$$"1&)oPvS')y]!#:$"2OJqc]Cf)=!#<7$$"1#RycG$[Z^!#:$"2OJqc]Cf)=!#<7$$"13;KkFlC_!#:$"2OJqc]Cf)=!#<7$$"14=OsPL-`!#:$"2OJqc]Cf)=!#<7$$"1`18wbkz`!#:$"2OJqc]Cf)=!#<7$$"1@T#[^B8X&!#:$"2OJqc]Cf)=!#<7$$"1lHfo=aDb!#:$"2OJqc]Cf)=!#<7$$"1c6B'f)H-c!#:$"2OJqc]Cf)=!#<7$$"1^.2k"4)yc!#:$"2OJqc]Cf)=!#<7$$"1'=Puo4vv&!#:$"2OJqc]Cf)=!#<7$$"1"Gc7:Ho#e!#:$"2OJqc]Cf)=!#<7$$"2:BY#\k'[!f!#;$"2OJqc]Cf)=!#<7$$"19Gc7`/Wf!#:$"2OJqc]Cf)=!#<7$$"1(Rze<CK)f!#:$"2OJqc]Cf)=!#<7$$"1V%)o(oVz)f!#:$"2OJqc]Cf)=!#<7$$"1([(\*>jE*f!#:$"2OJqc]Cf)=!#<7$$"20,-a&H-&*f!#;$"2OJqc]Cf)=!#<7$$"1LlI6FQ(*f!#:$"2OJqc]Cf)=!#<7$$"1b5@nCu**f!#:$"2OJqc]Cf)=!#<7$$"1yb6BA5-g!#:$"2V#pc0tf89!#<7$$"1oOtY7a6g!#:$"2V#pc0tf89!#<7$$"2&e<Nq-)4-'!#;$"2V#pc0tf89!#<7$$"0%ze<$e)Rg!#9$"2V#pc0tf89!#<7$$"1@T#[OO(eg!#:$"2V#pc0tf89!#<7$$"1=Nq:D-$4'!#:$"2V#pc0tf89!#<7$$"19Hem'3t7'!#:$"2V#pc0tf89!#<7$$"1X"HewZ)3i!#:$"2V#pc0tf89!#<7$$"0'>Ry?#zF'!#9$"2V#pc0tf89!#<7$$"1sV([#>Fej!#:$"2V#pc0tf89!#<7$$"1W)oP:&RHk!#:$"2V#pc0tf89!#<7$$"1d9H3'Gu]'!#:$"2V#pc0tf89!#<7$$"13:I5\t"e'!#:$"2V#pc0tf89!#<7$$"0.17ul#fm!#9$"2V#pc0tf89!#<7$$"17C[YKYIn!#:$"2V#pc0tf89!#<7$$"1f=Pu$fs!o!#:$"2V#pc0tf89!#<7$$"1_/4o*Gq)o!#:$"2V#pc0tf89!#<7$$"1D]+,)[<#p!#:$"2V#pc0tf89!#<7$$"1)f>Rjok&p!#:$"2V#pc0tf89!#<7$$"0#RG>y@vp!#9$"2V#pc0tf89!#<7$$"20C[Y+nR*p!#;$"2V#pc0tf89!#<7$$"1"y=Gl5j*p!#:$"2V#pc0tf89!#<7$$"1@$*)4Ia')*p!#:$"2V#pc0tf89!#<7$$"1h)f"\z*4+(!#:$"2y\THvt$*4"!#<7$$"1,/L(fTL+(!#:$"2y\THvt$*4"!#<7$$"1"[rO*)G!3q!#:$"2y\THvt$*4"!#<7$$"1iD,!>;F,(!#:$"2y\THvt$*4"!#<7$$"1CZp#y!4Aq!#:$"2y\THvt$*4"!#<7$$"1%)oPv`YJq!#:$"2y\THvt$*4"!#<7$$"1*yd:'[?qq!#:$"2y\THvt$*4"!#<7$$"1$pQxMW*3r!#:$"2y\THvt$*4"!#<7$$"2NmKlSUZ=(!#;$"2y\THvt$*4"!#<7$$"1(Rze#43es!#:$"2y\THvt$*4"!#<7$$"1$pQx%3^Rt!#:$"2y\THvt$*4"!#<7$$"1d8Fa#zET(!#:$"2y\THvt$*4"!#<7$$"1V'Gd9-3\(!#:$"2y\THvt$*4"!#<7$$"1oOt'4$fhv!#:$"2y\THvt$*4"!#<7$$"2DhAXI')*Qw!#;$"2y\THvt$*4"!#<7$$"1"He;G2=r(!#:$"2y\THvt$*4"!#<7$$"1ze<&=Ezy(!#:$"2y\THvt$*4"!#<7$$"2b;LmKYB'y!#;$"2y\THvt$*4"!#<7$$"1"=OA#=I,z!#:$"2y\THvt$*4"!#<7$$"1'>RyJd-%z!#:$"2y\THvt$*4"!#<7$$"1'GdRq;!fz!#:$"2y\THvt$*4"!#<7$$"1x`2!4wx(z!#:$"2y\THvt$*4"!#<7$$"1BW8$ybr)z!#:$"2y\THvt$*4"!#<7$$"2vY$>wa`'*z!#;$"2y\THvt$*4"!#<7$$"1G#e%*R!)))*z!#:$"2y\THvt$*4"!#<7$$"0*HsA`A,!)!#9$"1;f[rG03))!#<7$$"1^x)fCqN+)!#:$"1;f[rG03))!#<7$$"17DDp^"f+)!#:$"1;f[rG03))!#<7$$"1N?y:]g5!)!#:$"1;f[rG03))!#<7$$"1e:Ji[H:!)!#:$"1;f[rG03))!#<7$$"1(RzeAjO0)!#:$"1;f[rG03))!#<7$$"1OsW*eJ?4)!#:$"1;f[rG03))!#<7$$"1%pQx*G8o")!#:$"1;f[rG03))!#<7$$"17C['4i!Q#)!#:$"1;f[rG03))!#<7$$"1V([(\)3#=$)!#:$"1;f[rG03))!#<7$$"1KlIhI*)*Q)!#:$"1;f[rG03))!#<7$$"1.3;#QBjY)!#:$"1;f[rG03))!#<7$$"1Qv]^pZR&)!#:$"1;f[rG03))!#<7$$"1CZ%*)e/2i)!#:$"1;f[rG03))!#<7$$"17E_a</"p)!#:$"1;f[rG03))!#<7$$"19Hem](3x)!#:$"1;f[rG03))!#<7$$"1&4>QYMO%))!#:$"1;f[rG03))!#<7$$"1'**)z4=AB*)!#:$"1;f[rG03))!#<7$$"1=Os>qbd*)!#:$"1;f[rG03))!#<7$$"0C['HA*=**)!#9$"1;f[rG03))!#<7$$"1(o7p@OV**)!#:$"1;f[rG03))!#<7$$"1Nr</-y'**)!#:$"1;f[rG03))!#<7$$"1#eT9>C#***)!#:$"1;f[rG03))!#<7$$"0.1(y"o;+*!#9$"1-1lic"*Gs!#<7$$"1D\B`hb1!*!#:$"1-1lic"*Gs!#<7$$"1=QwFTW6!*!#:$"1-1lic"*Gs!#<7$$"11;#o2?7-*!#:$"1-1lic"*Gs!#<7$$"1'Rze-'*4.*!#:$"1-1lic"*Gs!#<7$$"1v\*R#za]!*!#:$"1-1lic"*Gs!#<7$$"1`06A)*4q!*!#:$"1-1lic"*Gs!#<7$$"0(Rze@(y5*!#9$"1-1lic"*Gs!#<7$$"1)Qxa\Wc9*!#:$"1-1lic"*Gs!#<7$$"1$oOt")R6A*!#:$"1-1lic"*Gs!#<7$$"1Pw_0uN'H*!#:$"1-1lic"*Gs!#<7$$"1^-0gzho$*!#:$"1-1lic"*Gs!#<7$$"0$e;LNtY%*!#9$"1-1lic"*Gs!#<7$$"0@U%QL=@&*!#9$"1-1lic"*Gs!#<7$$"1=Qw_#Q&*f*!#:$"1-1lic"*Gs!#<7$$"1jHf=$o/n*!#:$"1-1lic"*Gs!#<7$$"0*zf>$f)[(*!#9$"1-1lic"*Gs!#<7$$"0@U%QU%R#)*!#9$"1-1lic"*Gs!#<7$$"1jC\)RY))*)*!#:$"1-1lic"*Gs!#<7$$"1oOt'>kz$**!#:$"1-1lic"*Gs!#<7$$"1u[(\*>3x**!#:$"1-1lic"*Gs!#<7$$"129.D#*3')**!#:$"1-1lic"*Gs!#<7$$"1Rz3bk4&***!#:$"1-1lic"*Gs!#<7$$"1s?gi#[t***!#:$"1-1lic"*Gs!#<7$$"10i6q+g****!#:$"1-1lic"*Gs!#<7$$"2Q.jx=&=+5!#:$"2Xn0/pv50'!#=7$$"2sW9&o.T+5!#:$"2Xn0/pv50'!#=7$$"2QF<+tg3+"!#:$"2Xn0/pv50'!#=7$$"2/5?:468+"!#:$"2Xn0/pv50'!#=7$$"2pSJv`7J+"!#:$"2Xn0/pv50'!#=7$$"2MrUN)R"\+"!#:$"2Xn0/pv50'!#=7$$"2u],y$Qg35!#:$"2Xn0/pv50'!#=7$$"29Ig?p$H75!#:$"2Xn0/pv50'!#=7$$"2$yc8n<W?5!#:$"2Xn0/pv50'!#=7$$"2Fa3<=>y-"!#:$"2Xn0/pv50'!#=7$$"2W([(*pRON5!#:$"2Xn0/pv50'!#=7$$"2v],`#o.V5!#:$"2Xn0/pv50'!#=7$$"1'=PCn*3]5!#9$"2Xn0/pv50'!#=7$$"2tZ&4zxgd5!#:$"2Xn0/pv50'!#=7$$"2f=Pulo]1"!#:$"2Xn0/pv50'!#=7$$"2NqS"y%\I2"!#:$"2Xn0/pv50'!#=7$$"1<Mo1A4!3"!#9$"2Xn0/pv50'!#=7$$"2`3<M0=#)3"!#:$"2Xn0/pv50'!#=7$$"2ze<&GX)=4"!#:$"2Xn0/pv50'!#=7$$"2/4=O+^b4"!#:$"2Xn0/pv50'!#=7$$"2C]]j*[O(4"!#:$"2Xn0/pv50'!#=7$$"2W"H3*yy"*4"!#:$"2Xn0/pv50'!#=7$$"2fYuc_0%*4"!#:$"2Xn0/pv50'!#=7$$"2t,mAEK'*4"!#:$"2Xn0/pv50'!#=7$$"2)ov&))**e)*4"!#:$"2Xn0/pv50'!#=7$$"2/7\at&3+6!#:$"1@GEr5s[^!#<7$$"2NAK'3#R05"!#:$"1@GEr5s[^!#<7$$"2kK:=o#*45"!#:$"1@GEr5s[^!#<7$$"2E`"=G'**=5"!#:$"1@GEr5s[^!#<7$$"2'Qxaul!G5"!#:$"1@GEr5s[^!#<7$$"2jHf$4wq16!#:$"1@GEr5s[^!#<7$$"2T&3<W'316"!#:$"1@GEr5s[^!#<7$$"2%pQxuAW=6!#:$"1@GEr5s[^!#<7$$"2Hf=(=(pb7"!#:$"1@GEr5s[^!#<7$$"2'RzeZ(QJ8"!#:$"1@GEr5s[^!#<7$$"*QD09"!"($"1@GEr5s[^!#<7$$"2;JiucK&[6!#:$"1@GEr5s[^!#<7$$"28Fa3,ha:"!#:$"1@GEr5s[^!#<7$$"2U([(*z&=M;"!#:$"1@GEr5s[^!#<7$$"2tX"H8"**3<"!#:$"1@GEr5s[^!#<7$$"2-29GR2$y6!#:$"1@GEr5s[^!#<7$$"2=Rycc@d="!#:$"1@GEr5s[^!#<7$$"1<M=fD]*="!#9$"1@GEr5s[^!#<7$$"2@W)o_NG$>"!#:$"1@GEr5s[^!#<7$$"2oPvvW(G&>"!#:$"1@GEr5s[^!#<7$$"2:JiCM"H(>"!#:$"1@GEr5s[^!#<7$$"2)yd!**G$H)>"!#:$"1@GEr5s[^!#<7$$"1Y#\tB&H*>"!#9$"1@GEr5s[^!#<7$$"2H65UsX&*>"!#:$"1@GEr5s[^!#<7$$"2)z426iz*>"!#:$"1@GEr5s[^!#<7$$"2o%=$zpY+?"!#:$"2c&)Q`n&eTW!#=7$$"2Nr#z%=(H+7!#:$"2c&)Q`n&eTW!#=7$$"1ZW^e")z+7!#9$"2c&)Q`n&eTW!#=7$$"23=OA8*H,7!#:$"2c&)Q`n&eTW!#=7$$"2C^-I)Q(\?"!#:$"2c&)Q`n&eTW!#=7$$"2T%)oPj['37!#:$"2c&)Q`n&eTW!#=7$$"2D^-b`.f@"!#:$"2c&)Q`n&eTW!#=7$$"2jFbg!*eOA"!#:$"2c&)Q`n&eTW!#=7$$"1@U%QR(RJ7!#9$"2c&)Q`n&eTW!#=7$$"2Y!4=YJMQ7!#:$"2c&)Q`n&eTW!#=7$$"2v^.2*3dY7!#:$"2c&)Q`n&eTW!#=7$$"2W*)yd[bMD"!#:$"2c&)Q`n&eTW!#=7$$"2_2:Iz2:E"!#:$"2c&)Q`n&eTW!#=7$$"105?SH>p7!#9$"2c&)Q`n&eTW!#=7$$"2c:J7'[0w7!#:$"2c&)Q`n&eTW!#=7$$"2tZ&44=x$G"!#:$"2c&)Q`n&eTW!#=7$$"2v\**)4*R:H"!#:$"2c&)Q`n&eTW!#=7$$"2'Rz3+bS&H"!#:$"2c&)Q`n&eTW!#=7$$"2=Qw-4r#*H"!#:$"2c&)Q`n&eTW!#=7$$"1*zMQ3&\*H"!#9$"2c&)Q`n&eTW!#=7$$"1;KRx!>(*H"!#9$"2c&)Q`n&eTW!#=7$$"2Kj^42V**H"!#:$"2c&)Q`n&eTW!#=7$$"2-05X1n,I"!#:$"1)*zm>NiwQ!#<7$$"2V)oi^]h+8!#:$"1)*zm>NiwQ!#<7$$"2&=PuQI1,8!#:$"1)*zm>NiwQ!#<7$$"2pQxH,f>I"!#:$"1)*zm>NiwQ!#<7$$"2`06s)\&GI"!#:$"1)*zm>NiwQ!#<7$$"1#Ryc$pk/8!#9$"1)*zm>NiwQ!#<7$$"2&Gd9%))QkI"!#:$"1)*zm>NiwQ!#<7$$"23<M=!)\,J"!#:$"1)*zm>NiwQ!#<7$$"18E_>2'QJ"!#9$"1)*zm>NiwQ!#<7$$"1KkG#RO:K"!#9$"1)*zm>NiwQ!#<7$$"2<Nq!\u=H8!#:$"1)*zm>NiwQ!#<7$$"1NqS,v0P8!#9$"1)*zm>NiwQ!#<7$$"2Y%*)yZ%*)RM"!#:$"1)*zm>NiwQ!#<7$$"2&RzexJz^8!#:$"1)*zm>NiwQ!#<7$$"2iD^-&*G'f8!#:$"1)*zm>NiwQ!#<7$$"2'Gd9p,=n8!#:$"1)*zm>NiwQ!#<7$$"13;K*RPSP"!#9$"1)*zm>NiwQ!#<7$$"1JiC48>#Q"!#9$"1)*zm>NiwQ!#<7$$"2C^-0u)4*Q"!#:$"1)*zm>NiwQ!#<7$$"1Lm#GB;JR"!#9$"1)*zm>NiwQ!#<7$$"2Pv]^sLrR"!#:$"1)*zm>NiwQ!#<7$$"2Z$>^lF-)R"!#:$"1)*zm>NiwQ!#<7$$"2b6te!="*)R"!#:$"1)*zm>NiwQ!#<7$$"2fq`gKc$*R"!#:$"1)*zm>NiwQ!#<7$$"2kHMi%3!)*R"!#:$"1)*zm>NiwQ!#<7$$"2;fCj5B+S"!#:$"2E`$z?#zwT$!#=7$$"1()[Tm`C+9!#9$"2E`$z?#zwT$!#=7$$"2A=0lin/S"!#:$"2E`$z?#zwT$!#=7$$"2uZ&f'))*o+9!#:$"2E`$z?#zwT$!#=7$$"2#RyJnzY-9!#:$"2E`$z?#zwT$!#=7$$"1,-/[gC/9!#9$"2E`$z?#zwT$!#=7$$"2:Lm2sZ"39!#:$"2E`$z?#zwT$!#=7$$"2BY#\$R\?T"!#:$"2E`$z?#zwT$!#=7$$"2sY$pB+[>9!#:$"2E`$z?#zwT$!#=7$$"2&>Ry1JBF9!#:$"2E`$z?#zwT$!#=7$$"2xb6t&GNM9!#:$"2E`$z?#zwT$!#=7$$"2E]+,ZK?W"!#:$"2E`$z?#zwT$!#=7$$"2<Os%H%4+X"!#:$"2E`$z?#zwT$!#=7$$"2kFbgR`pX"!#:$"2E`$z?#zwT$!#=7$$"105?qIXk9!#9$"2E`$z?#zwT$!#=7$$"2e=Pu'4?s9!#:$"2E`$z?#zwT$!#=7$$"2He;Lx!yz9!#:$"2E`$z?#zwT$!#=7$$"2iD^_i9r["!#:$"2E`$z?#zwT$!#=7$$"1@UM@h="\"!#9$"2E`$z?#zwT$!#=7$$"2e=Puhd_\"!#:$"2E`$z?#zwT$!#=7$$"2C]+w#o3(\"!#:$"2E`$z?#zwT$!#=7$$"1>QwPg"*)\"!#9$"2E`$z?#zwT$!#=7$$"1[YISLP*\"!#9$"2E`$z?#zwT$!#=7$$"2sZXGkI)*\"!#:$"2E`$z?#zwT$!#=7$$"2<*e6%Hf+]"!#:$"1e,d[[VRI!#<7$$"2jI'QXzG+:!#:$"1e,d[[VRI!#<7$$"23scmf;0]"!#:$"1e,d[[VRI!#<7$$"2c8FzCX2]"!#:$"1e,d[[VRI!#<7$$"1%z3I&)f;]"!#9$"1e,d[[VRI!#<7$$"2AX!4eWd-:!#:$"1e,d[[VRI!#<7$$"2kJjEg![1:!#:$"1e,d[[VRI!#<7$$"23=Osu'Q5:!#:$"1e,d[[VRI!#<7$$"2KoOB%eY<:!#:$"1e,d[[VRI!#<7$$"2wd:J;0__"!#:$"1e,d[[VRI!#<7$$"2d9H3E([K:!#:$"1e,d[[VRI!#<7$$"2W!4=^"*4S:!#:$"1e,d[[VRI!#<7$$"1LmKl6aZ:!#9$"1e,d[[VRI!#<7$$"2hBZWEK`b"!#:$"1e,d[[VRI!#<7$$"2AZ%*)=g$Gc"!#:$"1e,d[[VRI!#<7$$"0/3;p40d"!#8$"1e,d[[VRI!#<7$$"2e=PC#)>"y:!#:$"1e,d[[VRI!#<7$$"2wb6Bu7^e"!#:$"1e,d[[VRI!#<7$$"2T([(*z+7*e"!#:$"1e,d[[VRI!#<7$$"23>QwTFJf"!#:$"1e,d[[VRI!#<7$$"2d8FH_>\f"!#:$"1e,d[[VRI!#<7$$"2/3;#G;r'f"!#:$"1e,d[[VRI!#<7$$"2Ebg3o2wf"!#:$"1e,d[[VRI!#<7$$"1D]]LP])f"!#9$"1e,d[[VRI!#<7$$"28EF)f<&*)f"!#:$"1e,d[[VRI!#<7$$"2v\\hy*R*f"!#:$"1e,d[[VRI!#<7$$"2ch5$*zB'*f"!#:$"1e,d[[VRI!#<7$$"2PtrC"y%)*f"!#:$"1e,d[[VRI!#<7$$"1_GjD=2+;!#9$"28Jg&3atBF!#=7$$"0(RzQeH+;!#8$"28Jg&3atBF!#=7$$"2NoO[N<Tg"!#:$"28Jg&3atBF!#=7$$"2nRz3()Qzg"!#:$"28Jg&3atBF!#=7$$"2/29yAa_h"!#:$"28Jg&3atBF!#=7$$"2))yd:*pPB;!#:$"28Jg&3atBF!#=7$$"2xd:"32TI;!#:$"28Jg&3atBF!#=7$$"13;KRSRQ;!#9$"28Jg&3atBF!#=7$$"1E_/z*pck"!#9$"28Jg&3atBF!#=7$$"2e@VOrGOl"!#:$"28Jg&3atBF!#=7$$"219Gcv&\g;!#:$"28Jg&3atBF!#=7$$"1sV([^;$o;!#9$"28Jg&3atBF!#=7$$"2`06A)4(en"!#:$"28Jg&3atBF!#=7$$"2Z)pR90U$o"!#:$"28Jg&3atBF!#=7$$"2-3;KFU4p"!#:$"28Jg&3atBF!#=7$$"16A%4IbXp"!#9$"28Jg&3atBF!#=7$$"2<Mo'G$o")p"!#:$"28Jg&3atBF!#=7$$"19.+^ll)p"!#9$"28Jg&3atBF!#=7$$"2lGKLxW"*p"!#:$"28Jg&3atBF!#=7$$"2FF)\%)))Q*p"!#:$"28Jg&3atBF!#=7$$"2(eUm&*Hj*p"!#:$"28Jg&3atBF!#=7$$"2YCIo5x)*p"!#:$"28Jg&3atBF!#=7$$"1Ji*z@@,q"!#9$"2j[uDW'GdC!#=7$$"2d<gEm(4,<!#:$"2j[uDW'GdC!#=7$$"2/7Ct5u?q"!#:$"2j[uDW'GdC!#=7$$"0,_m*p-/<!#8$"2j[uDW'GdC!#=7$$"2&**)zf))zfq"!#:$"2j[uDW'GdC!#=7$$"2&=PCwBq4<!#:$"2j[uDW'GdC!#=7$$"2w`2l'[U8<!#:$"2j[uDW'GdC!#=7$$"2$)pRzNg7s"!#:$"2j[uDW'GdC!#=7$$"18E_kLNG<!#9$"2j[uDW'GdC!#=7$$"2_6BYY#>O<!#:$"2j[uDW'GdC!#=7$$"1Qv]c4qV<!#9$"2j[uDW'GdC!#=7$$"1jD^s6>^<!#9$"2j[uDW'GdC!#=7$$"2O!3;KZ,f<!#:$"2j[uDW'GdC!#=7$$"0.1i^?iw"!#8$"2j[uDW'GdC!#=7$$"1=OsC-gt<!#9$"2j[uDW'GdC!#=7$$"1&**)z*H[<y"!#9$"2j[uDW'GdC!#=7$$"1f=P9d7*y"!#9$"2j[uDW'GdC!#=7$$"1D]]3")*Gz"!#9$"2j[uDW'GdC!#=7$$"1">QE]qmz"!#9$"2j[uDW'GdC!#=7$$"0-a&4'Hwz"!#8$"2j[uDW'GdC!#=7$$"2$\)pkr)e)z"!#:$"2j[uDW'GdC!#=7$$"1kx#*p#o!*z"!#9$"2j[uDW'GdC!#=7$$"2(ycQBya*z"!#:$"2j[uDW'GdC!#=7$$"1OY6+wy*z"!#9$"2j[uDW'GdC!#=7$$"1$fVoPF+!=!#9$"1JZ,U)p,B#!#<7$$"2/bsN:n-!=!#:$"1JZ,U)p,B#!#<7$$"2x],.$p]+=!#:$"1JZ,U)p,B#!#<7$$"2d;LT9DC!=!#:$"1JZ,U)p,B#!#<7$$"1C['zNVV!=!#9$"1JZ,U)p,B#!#<7$$"2NmK:ypy!=!#:$"1JZ,U)p,B#!#<7$$"2D]+^?'R6=!#:$"1JZ,U)p,B#!#<7$$"1%ze<J9*==!#9$"1JZ,U)p,B#!#<7$$"2B]+,>vj#=!#:$"1JZ,U)p,B#!#<7$$"0-/3,cV$=!#8$"1JZ,U)p,B#!#<7$$"2PtY$R()RT=!#:$"1JZ,U)p,B#!#<7$$"1-/3'eC&\=!#9$"1JZ,U)p,B#!#<7$$"129GOv&o&=!#9$"1JZ,U)p,B#!#<7$$"2a06s58T'=!#:$"1JZ,U)p,B#!#<7$$"1rT$o<:>(=!#9$"1JZ,U)p,B#!#<7$$"2c=Pu!)[(z=!#:$"1JZ,U)p,B#!#<7$$"2#4>Q^i(o)=!#:$"1JZ,U)p,B#!#<7$$"2De;ewg1*=!#:$"1JZ,U)p,B#!#<7$$"1c7D!GXW*=!#9$"1JZ,U)p,B#!#<7$$"1rUNQ>H'*=!#9$"1JZ,U)p,B#!#<7$$"2mGdkfQ")*=!#:$"1JZ,U)p,B#!#<7$$"2Uz3b#>1**=!#:$"1JZ,U)p,B#!#<7$$"2;IgXD&)***=!#:$"1JZ,U)p,B#!#<7$$"2$yJ#o3;-!>!#:$"2de9HWi[.#!#=7$$"2a0'3>pW+>!#:$"2de9HWi[.#!#=7$$"1K*[8vx1!>!#9$"2de9HWi[.#!#=7$$"14=h$e34!>!#9$"2de9HWi[.#!#=7$$"2GcP"[-P,>!#:$"2de9HWi[.#!#=7$$"2mJjE">$=!>!#:$"2de9HWi[.#!#=7$$"2CZ%R1b$e!>!#:$"2de9HWi[.#!#=7$$"1Gc7+"R)4>!#9$"2de9HWi[.#!#=7$$"2xe<Nann">!#:$"2de9HWi[.#!#=7$$"23>QE6DZ#>!#:$"2de9HWi[.#!#=7$$"1uZ&fk0A$>!#9$"2de9HWi[.#!#=7$$"1(Qxa#RhR>!#9$"2de9HWi[.#!#=7$$"2%3<M)4Gq%>!#:$"2de9HWi[.#!#=7$$"2(e<N&3!fa>!#:$"2de9HWi[.#!#=7$$"2v\**[m0E'>!#:$"2de9HWi[.#!#=7$$"22;Kk;b*p>!#:$"2de9HWi[.#!#=7$$"1He;o+@x>!#9$"2de9HWi[.#!#=7$$"1$f=(Qa'\)>!#9$"2de9HWi[.#!#=7$$"1lIh#oM)))>!#9$"2de9HWi[.#!#=7$$"2s`2l#Rq#*>!#:$"2de9HWi[.#!#=7$$"1`1)[%z_%*>!#9$"2de9HWi[.#!#=7$$"2'oPDj>N'*>!#:$"2de9HWi[.#!#=7$$"2lKSC(RE(*>!#:$"2de9HWi[.#!#=7$$"1%)oi")f<)*>!#9$"2de9HWi[.#!#=7$$"2L;?i)>j)*>!#:$"2de9HWi[.#!#=7$$"1UM"3*z3**>!#9$"2de9HWi[.#!#=7$$"2835J*fJ**>!#:$"2de9HWi[.#!#=7$$"1@nS&*Ra**>!#9$"2de9HWi[.#!#=7$$"2/O.x*>x**>!#:$"2de9HWi[.#!#=7$$"$+#!""$"2&[^qn?dl=!#=-%&COLORG6&%$RGBG$"#5!""$""!!""$""!!""-%'CURVESG6$7hal7$$"#]!""$"0;***4>FW*)!#;7$$"1&)oPvS')y]!#:$"0;***4>FW*)!#;7$$"1#RycG$[Z^!#:$"0;***4>FW*)!#;7$$"13;KkFlC_!#:$"0;***4>FW*)!#;7$$"14=OsPL-`!#:$"0;***4>FW*)!#;7$$"1`18wbkz`!#:$"0;***4>FW*)!#;7$$"1@T#[^B8X&!#:$"0;***4>FW*)!#;7$$"1lHfo=aDb!#:$"0;***4>FW*)!#;7$$"1c6B'f)H-c!#:$"0;***4>FW*)!#;7$$"1^.2k"4)yc!#:$"0;***4>FW*)!#;7$$"1'=Puo4vv&!#:$"0;***4>FW*)!#;7$$"1"Gc7:Ho#e!#:$"0;***4>FW*)!#;7$$"2:BY#\k'[!f!#;$"0;***4>FW*)!#;7$$"19Gc7`/Wf!#:$"0;***4>FW*)!#;7$$"1(Rze<CK)f!#:$"0;***4>FW*)!#;7$$"1V%)o(oVz)f!#:$"0;***4>FW*)!#;7$$"1([(\*>jE*f!#:$"0;***4>FW*)!#;7$$"20,-a&H-&*f!#;$"0;***4>FW*)!#;7$$"1LlI6FQ(*f!#:$"0;***4>FW*)!#;7$$"1b5@nCu**f!#:$"0;***4>FW*)!#;7$$"1yb6BA5-g!#:$"1<xRu"QT!o!#<7$$"1oOtY7a6g!#:$"1<xRu"QT!o!#<7$$"2&e<Nq-)4-'!#;$"1<xRu"QT!o!#<7$$"0%ze<$e)Rg!#9$"1<xRu"QT!o!#<7$$"1@T#[OO(eg!#:$"1<xRu"QT!o!#<7$$"1=Nq:D-$4'!#:$"1<xRu"QT!o!#<7$$"19Hem'3t7'!#:$"1<xRu"QT!o!#<7$$"1X"HewZ)3i!#:$"1<xRu"QT!o!#<7$$"0'>Ry?#zF'!#9$"1<xRu"QT!o!#<7$$"1sV([#>Fej!#:$"1<xRu"QT!o!#<7$$"1W)oP:&RHk!#:$"1<xRu"QT!o!#<7$$"1d9H3'Gu]'!#:$"1<xRu"QT!o!#<7$$"13:I5\t"e'!#:$"1<xRu"QT!o!#<7$$"0.17ul#fm!#9$"1<xRu"QT!o!#<7$$"17C[YKYIn!#:$"1<xRu"QT!o!#<7$$"1f=Pu$fs!o!#:$"1<xRu"QT!o!#<7$$"1_/4o*Gq)o!#:$"1<xRu"QT!o!#<7$$"1D]+,)[<#p!#:$"1<xRu"QT!o!#<7$$"1)f>Rjok&p!#:$"1<xRu"QT!o!#<7$$"0#RG>y@vp!#9$"1<xRu"QT!o!#<7$$"20C[Y+nR*p!#;$"1<xRu"QT!o!#<7$$"1"y=Gl5j*p!#:$"1<xRu"QT!o!#<7$$"1@$*)4Ia')*p!#:$"1<xRu"QT!o!#<7$$"1h)f"\z*4+(!#:$"1*Qg:Z#\*R&!#<7$$"1,/L(fTL+(!#:$"1*Qg:Z#\*R&!#<7$$"1"[rO*)G!3q!#:$"1*Qg:Z#\*R&!#<7$$"1iD,!>;F,(!#:$"1*Qg:Z#\*R&!#<7$$"1CZp#y!4Aq!#:$"1*Qg:Z#\*R&!#<7$$"1%)oPv`YJq!#:$"1*Qg:Z#\*R&!#<7$$"1*yd:'[?qq!#:$"1*Qg:Z#\*R&!#<7$$"1$pQxMW*3r!#:$"1*Qg:Z#\*R&!#<7$$"2NmKlSUZ=(!#;$"1*Qg:Z#\*R&!#<7$$"1(Rze#43es!#:$"1*Qg:Z#\*R&!#<7$$"1$pQx%3^Rt!#:$"1*Qg:Z#\*R&!#<7$$"1d8Fa#zET(!#:$"1*Qg:Z#\*R&!#<7$$"1V'Gd9-3\(!#:$"1*Qg:Z#\*R&!#<7$$"1oOt'4$fhv!#:$"1*Qg:Z#\*R&!#<7$$"2DhAXI')*Qw!#;$"1*Qg:Z#\*R&!#<7$$"1"He;G2=r(!#:$"1*Qg:Z#\*R&!#<7$$"1ze<&=Ezy(!#:$"1*Qg:Z#\*R&!#<7$$"2b;LmKYB'y!#;$"1*Qg:Z#\*R&!#<7$$"1"=OA#=I,z!#:$"1*Qg:Z#\*R&!#<7$$"1'>RyJd-%z!#:$"1*Qg:Z#\*R&!#<7$$"1'GdRq;!fz!#:$"1*Qg:Z#\*R&!#<7$$"1x`2!4wx(z!#:$"1*Qg:Z#\*R&!#<7$$"1BW8$ybr)z!#:$"1*Qg:Z#\*R&!#<7$$"2vY$>wa`'*z!#;$"1*Qg:Z#\*R&!#<7$$"1G#e%*R!)))*z!#:$"1*Qg:Z#\*R&!#<7$$"0*HsA`A,!)!#9$"1AfT#Q<%>W!#<7$$"1^x)fCqN+)!#:$"1AfT#Q<%>W!#<7$$"17DDp^"f+)!#:$"1AfT#Q<%>W!#<7$$"1N?y:]g5!)!#:$"1AfT#Q<%>W!#<7$$"1e:Ji[H:!)!#:$"1AfT#Q<%>W!#<7$$"1(RzeAjO0)!#:$"1AfT#Q<%>W!#<7$$"1OsW*eJ?4)!#:$"1AfT#Q<%>W!#<7$$"1%pQx*G8o")!#:$"1AfT#Q<%>W!#<7$$"17C['4i!Q#)!#:$"1AfT#Q<%>W!#<7$$"1V([(\)3#=$)!#:$"1AfT#Q<%>W!#<7$$"1KlIhI*)*Q)!#:$"1AfT#Q<%>W!#<7$$"1.3;#QBjY)!#:$"1AfT#Q<%>W!#<7$$"1Qv]^pZR&)!#:$"1AfT#Q<%>W!#<7$$"1CZ%*)e/2i)!#:$"1AfT#Q<%>W!#<7$$"17E_a</"p)!#:$"1AfT#Q<%>W!#<7$$"19Hem](3x)!#:$"1AfT#Q<%>W!#<7$$"1&4>QYMO%))!#:$"1AfT#Q<%>W!#<7$$"1'**)z4=AB*)!#:$"1AfT#Q<%>W!#<7$$"1=Os>qbd*)!#:$"1AfT#Q<%>W!#<7$$"0C['HA*=**)!#9$"1AfT#Q<%>W!#<7$$"1(o7p@OV**)!#:$"1AfT#Q<%>W!#<7$$"1Nr</-y'**)!#:$"1AfT#Q<%>W!#<7$$"1#eT9>C#***)!#:$"1AfT#Q<%>W!#<7$$"0.1(y"o;+*!#9$"2Nq.Pq.Pq$!#=7$$"1D\B`hb1!*!#:$"2Nq.Pq.Pq$!#=7$$"1=QwFTW6!*!#:$"2Nq.Pq.Pq$!#=7$$"11;#o2?7-*!#:$"2Nq.Pq.Pq$!#=7$$"1'Rze-'*4.*!#:$"2Nq.Pq.Pq$!#=7$$"1v\*R#za]!*!#:$"2Nq.Pq.Pq$!#=7$$"1`06A)*4q!*!#:$"2Nq.Pq.Pq$!#=7$$"0(Rze@(y5*!#9$"2Nq.Pq.Pq$!#=7$$"1)Qxa\Wc9*!#:$"2Nq.Pq.Pq$!#=7$$"1$oOt")R6A*!#:$"2Nq.Pq.Pq$!#=7$$"1Pw_0uN'H*!#:$"2Nq.Pq.Pq$!#=7$$"1^-0gzho$*!#:$"2Nq.Pq.Pq$!#=7$$"0$e;LNtY%*!#9$"2Nq.Pq.Pq$!#=7$$"0@U%QL=@&*!#9$"2Nq.Pq.Pq$!#=7$$"1=Qw_#Q&*f*!#:$"2Nq.Pq.Pq$!#=7$$"1jHf=$o/n*!#:$"2Nq.Pq.Pq$!#=7$$"0*zf>$f)[(*!#9$"2Nq.Pq.Pq$!#=7$$"0@U%QU%R#)*!#9$"2Nq.Pq.Pq$!#=7$$"1jC\)RY))*)*!#:$"2Nq.Pq.Pq$!#=7$$"1oOt'>kz$**!#:$"2Nq.Pq.Pq$!#=7$$"1u[(\*>3x**!#:$"2Nq.Pq.Pq$!#=7$$"129.D#*3')**!#:$"2Nq.Pq.Pq$!#=7$$"1Rz3bk4&***!#:$"2Nq.Pq.Pq$!#=7$$"1s?gi#[t***!#:$"2Nq.Pq.Pq$!#=7$$"10i6q+g****!#:$"2Nq.Pq.Pq$!#=7$$"2Q.jx=&=+5!#:$"0Qo,mxA;$!#;7$$"2sW9&o.T+5!#:$"0Qo,mxA;$!#;7$$"2QF<+tg3+"!#:$"0Qo,mxA;$!#;7$$"2/5?:468+"!#:$"0Qo,mxA;$!#;7$$"2pSJv`7J+"!#:$"0Qo,mxA;$!#;7$$"2MrUN)R"\+"!#:$"0Qo,mxA;$!#;7$$"2u],y$Qg35!#:$"0Qo,mxA;$!#;7$$"29Ig?p$H75!#:$"0Qo,mxA;$!#;7$$"2$yc8n<W?5!#:$"0Qo,mxA;$!#;7$$"2Fa3<=>y-"!#:$"0Qo,mxA;$!#;7$$"2W([(*pRON5!#:$"0Qo,mxA;$!#;7$$"2v],`#o.V5!#:$"0Qo,mxA;$!#;7$$"1'=PCn*3]5!#9$"0Qo,mxA;$!#;7$$"2tZ&4zxgd5!#:$"0Qo,mxA;$!#;7$$"2f=Pulo]1"!#:$"0Qo,mxA;$!#;7$$"2NqS"y%\I2"!#:$"0Qo,mxA;$!#;7$$"1<Mo1A4!3"!#9$"0Qo,mxA;$!#;7$$"2`3<M0=#)3"!#:$"0Qo,mxA;$!#;7$$"2ze<&GX)=4"!#:$"0Qo,mxA;$!#;7$$"2/4=O+^b4"!#:$"0Qo,mxA;$!#;7$$"2C]]j*[O(4"!#:$"0Qo,mxA;$!#;7$$"2W"H3*yy"*4"!#:$"0Qo,mxA;$!#;7$$"2fYuc_0%*4"!#:$"0Qo,mxA;$!#;7$$"2t,mAEK'*4"!#:$"0Qo,mxA;$!#;7$$"2)ov&))**e)*4"!#:$"0Qo,mxA;$!#;7$$"2/7\at&3+6!#:$"1:UVBA,TF!#<7$$"2NAK'3#R05"!#:$"1:UVBA,TF!#<7$$"2kK:=o#*45"!#:$"1:UVBA,TF!#<7$$"2E`"=G'**=5"!#:$"1:UVBA,TF!#<7$$"2'Qxaul!G5"!#:$"1:UVBA,TF!#<7$$"2jHf$4wq16!#:$"1:UVBA,TF!#<7$$"2T&3<W'316"!#:$"1:UVBA,TF!#<7$$"2%pQxuAW=6!#:$"1:UVBA,TF!#<7$$"2Hf=(=(pb7"!#:$"1:UVBA,TF!#<7$$"2'RzeZ(QJ8"!#:$"1:UVBA,TF!#<7$$"*QD09"!"($"1:UVBA,TF!#<7$$"2;JiucK&[6!#:$"1:UVBA,TF!#<7$$"28Fa3,ha:"!#:$"1:UVBA,TF!#<7$$"2U([(*z&=M;"!#:$"1:UVBA,TF!#<7$$"2tX"H8"**3<"!#:$"1:UVBA,TF!#<7$$"2-29GR2$y6!#:$"1:UVBA,TF!#<7$$"2=Rycc@d="!#:$"1:UVBA,TF!#<7$$"1<M=fD]*="!#9$"1:UVBA,TF!#<7$$"2@W)o_NG$>"!#:$"1:UVBA,TF!#<7$$"2oPvvW(G&>"!#:$"1:UVBA,TF!#<7$$"2:JiCM"H(>"!#:$"1:UVBA,TF!#<7$$"2)yd!**G$H)>"!#:$"1:UVBA,TF!#<7$$"1Y#\tB&H*>"!#9$"1:UVBA,TF!#<7$$"2H65UsX&*>"!#:$"1:UVBA,TF!#<7$$"2)z426iz*>"!#:$"1:UVBA,TF!#<7$$"2o%=$zpY+?"!#:$"2/WB;7EcS#!#=7$$"2Nr#z%=(H+7!#:$"2/WB;7EcS#!#=7$$"1ZW^e")z+7!#9$"2/WB;7EcS#!#=7$$"23=OA8*H,7!#:$"2/WB;7EcS#!#=7$$"2C^-I)Q(\?"!#:$"2/WB;7EcS#!#=7$$"2T%)oPj['37!#:$"2/WB;7EcS#!#=7$$"2D^-b`.f@"!#:$"2/WB;7EcS#!#=7$$"2jFbg!*eOA"!#:$"2/WB;7EcS#!#=7$$"1@U%QR(RJ7!#9$"2/WB;7EcS#!#=7$$"2Y!4=YJMQ7!#:$"2/WB;7EcS#!#=7$$"2v^.2*3dY7!#:$"2/WB;7EcS#!#=7$$"2W*)yd[bMD"!#:$"2/WB;7EcS#!#=7$$"2_2:Iz2:E"!#:$"2/WB;7EcS#!#=7$$"105?SH>p7!#9$"2/WB;7EcS#!#=7$$"2c:J7'[0w7!#:$"2/WB;7EcS#!#=7$$"2tZ&44=x$G"!#:$"2/WB;7EcS#!#=7$$"2v\**)4*R:H"!#:$"2/WB;7EcS#!#=7$$"2'Rz3+bS&H"!#:$"2/WB;7EcS#!#=7$$"2=Qw-4r#*H"!#:$"2/WB;7EcS#!#=7$$"1*zMQ3&\*H"!#9$"2/WB;7EcS#!#=7$$"1;KRx!>(*H"!#9$"2/WB;7EcS#!#=7$$"2Kj^42V**H"!#:$"2/WB;7EcS#!#=7$$"2-05X1n,I"!#:$"2#eR<$HiM8#!#=7$$"2V)oi^]h+8!#:$"2#eR<$HiM8#!#=7$$"2&=PuQI1,8!#:$"2#eR<$HiM8#!#=7$$"2pQxH,f>I"!#:$"2#eR<$HiM8#!#=7$$"2`06s)\&GI"!#:$"2#eR<$HiM8#!#=7$$"1#Ryc$pk/8!#9$"2#eR<$HiM8#!#=7$$"2&Gd9%))QkI"!#:$"2#eR<$HiM8#!#=7$$"23<M=!)\,J"!#:$"2#eR<$HiM8#!#=7$$"18E_>2'QJ"!#9$"2#eR<$HiM8#!#=7$$"1KkG#RO:K"!#9$"2#eR<$HiM8#!#=7$$"2<Nq!\u=H8!#:$"2#eR<$HiM8#!#=7$$"1NqS,v0P8!#9$"2#eR<$HiM8#!#=7$$"2Y%*)yZ%*)RM"!#:$"2#eR<$HiM8#!#=7$$"2&RzexJz^8!#:$"2#eR<$HiM8#!#=7$$"2iD^-&*G'f8!#:$"2#eR<$HiM8#!#=7$$"2'Gd9p,=n8!#:$"2#eR<$HiM8#!#=7$$"13;K*RPSP"!#9$"2#eR<$HiM8#!#=7$$"1JiC48>#Q"!#9$"2#eR<$HiM8#!#=7$$"2C^-0u)4*Q"!#:$"2#eR<$HiM8#!#=7$$"1Lm#GB;JR"!#9$"2#eR<$HiM8#!#=7$$"2Pv]^sLrR"!#:$"2#eR<$HiM8#!#=7$$"2Z$>^lF-)R"!#:$"2#eR<$HiM8#!#=7$$"2b6te!="*)R"!#:$"2#eR<$HiM8#!#=7$$"2fq`gKc$*R"!#:$"2#eR<$HiM8#!#=7$$"2kHMi%3!)*R"!#:$"2#eR<$HiM8#!#=7$$"2;fCj5B+S"!#:$"28..3()3!4>!#=7$$"1()[Tm`C+9!#9$"28..3()3!4>!#=7$$"2A=0lin/S"!#:$"28..3()3!4>!#=7$$"2uZ&f'))*o+9!#:$"28..3()3!4>!#=7$$"2#RyJnzY-9!#:$"28..3()3!4>!#=7$$"1,-/[gC/9!#9$"28..3()3!4>!#=7$$"2:Lm2sZ"39!#:$"28..3()3!4>!#=7$$"2BY#\$R\?T"!#:$"28..3()3!4>!#=7$$"2sY$pB+[>9!#:$"28..3()3!4>!#=7$$"2&>Ry1JBF9!#:$"28..3()3!4>!#=7$$"2xb6t&GNM9!#:$"28..3()3!4>!#=7$$"2E]+,ZK?W"!#:$"28..3()3!4>!#=7$$"2<Os%H%4+X"!#:$"28..3()3!4>!#=7$$"2kFbgR`pX"!#:$"28..3()3!4>!#=7$$"105?qIXk9!#9$"28..3()3!4>!#=7$$"2e=Pu'4?s9!#:$"28..3()3!4>!#=7$$"2He;Lx!yz9!#:$"28..3()3!4>!#=7$$"2iD^_i9r["!#:$"28..3()3!4>!#=7$$"1@UM@h="\"!#9$"28..3()3!4>!#=7$$"2e=Puhd_\"!#:$"28..3()3!4>!#=7$$"2C]+w#o3(\"!#:$"28..3()3!4>!#=7$$"1>QwPg"*)\"!#9$"28..3()3!4>!#=7$$"1[YISLP*\"!#9$"28..3()3!4>!#=7$$"2sZXGkI)*\"!#:$"28..3()3!4>!#=7$$"2<*e6%Hf+]"!#:$"1TxkJfK@<!#<7$$"2jI'QXzG+:!#:$"1TxkJfK@<!#<7$$"23scmf;0]"!#:$"1TxkJfK@<!#<7$$"2c8FzCX2]"!#:$"1TxkJfK@<!#<7$$"1%z3I&)f;]"!#9$"1TxkJfK@<!#<7$$"2AX!4eWd-:!#:$"1TxkJfK@<!#<7$$"2kJjEg![1:!#:$"1TxkJfK@<!#<7$$"23=Osu'Q5:!#:$"1TxkJfK@<!#<7$$"2KoOB%eY<:!#:$"1TxkJfK@<!#<7$$"2wd:J;0__"!#:$"1TxkJfK@<!#<7$$"2d9H3E([K:!#:$"1TxkJfK@<!#<7$$"2W!4=^"*4S:!#:$"1TxkJfK@<!#<7$$"1LmKl6aZ:!#9$"1TxkJfK@<!#<7$$"2hBZWEK`b"!#:$"1TxkJfK@<!#<7$$"2AZ%*)=g$Gc"!#:$"1TxkJfK@<!#<7$$"0/3;p40d"!#8$"1TxkJfK@<!#<7$$"2e=PC#)>"y:!#:$"1TxkJfK@<!#<7$$"2wb6Bu7^e"!#:$"1TxkJfK@<!#<7$$"2T([(*z+7*e"!#:$"1TxkJfK@<!#<7$$"23>QwTFJf"!#:$"1TxkJfK@<!#<7$$"2d8FH_>\f"!#:$"1TxkJfK@<!#<7$$"2/3;#G;r'f"!#:$"1TxkJfK@<!#<7$$"2Ebg3o2wf"!#:$"1TxkJfK@<!#<7$$"1D]]LP])f"!#9$"1TxkJfK@<!#<7$$"28EF)f<&*)f"!#:$"1TxkJfK@<!#<7$$"2v\\hy*R*f"!#:$"1TxkJfK@<!#<7$$"2ch5$*zB'*f"!#:$"1TxkJfK@<!#<7$$"2PtrC"y%)*f"!#:$"1TxkJfK@<!#<7$$"1_GjD=2+;!#9$"&Dc"!"'7$$"0(RzQeH+;!#8$"&Dc"!"'7$$"2NoO[N<Tg"!#:$"&Dc"!"'7$$"2nRz3()Qzg"!#:$"&Dc"!"'7$$"2/29yAa_h"!#:$"&Dc"!"'7$$"2))yd:*pPB;!#:$"&Dc"!"'7$$"2xd:"32TI;!#:$"&Dc"!"'7$$"13;KRSRQ;!#9$"&Dc"!"'7$$"1E_/z*pck"!#9$"&Dc"!"'7$$"2e@VOrGOl"!#:$"&Dc"!"'7$$"219Gcv&\g;!#:$"&Dc"!"'7$$"1sV([^;$o;!#9$"&Dc"!"'7$$"2`06A)4(en"!#:$"&Dc"!"'7$$"2Z)pR90U$o"!#:$"&Dc"!"'7$$"2-3;KFU4p"!#:$"&Dc"!"'7$$"16A%4IbXp"!#9$"&Dc"!"'7$$"2<Mo'G$o")p"!#:$"&Dc"!"'7$$"19.+^ll)p"!#9$"&Dc"!"'7$$"2lGKLxW"*p"!#:$"&Dc"!"'7$$"2FF)\%)))Q*p"!#:$"&Dc"!"'7$$"2(eUm&*Hj*p"!#:$"&Dc"!"'7$$"2YCIo5x)*p"!#:$"&Dc"!"'7$$"1Ji*z@@,q"!#9$"2pass9!oE9!#=7$$"2d<gEm(4,<!#:$"2pass9!oE9!#=7$$"2/7Ct5u?q"!#:$"2pass9!oE9!#=7$$"0,_m*p-/<!#8$"2pass9!oE9!#=7$$"2&**)zf))zfq"!#:$"2pass9!oE9!#=7$$"2&=PCwBq4<!#:$"2pass9!oE9!#=7$$"2w`2l'[U8<!#:$"2pass9!oE9!#=7$$"2$)pRzNg7s"!#:$"2pass9!oE9!#=7$$"18E_kLNG<!#9$"2pass9!oE9!#=7$$"2_6BYY#>O<!#:$"2pass9!oE9!#=7$$"1Qv]c4qV<!#9$"2pass9!oE9!#=7$$"1jD^s6>^<!#9$"2pass9!oE9!#=7$$"2O!3;KZ,f<!#:$"2pass9!oE9!#=7$$"0.1i^?iw"!#8$"2pass9!oE9!#=7$$"1=OsC-gt<!#9$"2pass9!oE9!#=7$$"1&**)z*H[<y"!#9$"2pass9!oE9!#=7$$"1f=P9d7*y"!#9$"2pass9!oE9!#=7$$"1D]]3")*Gz"!#9$"2pass9!oE9!#=7$$"1">QE]qmz"!#9$"2pass9!oE9!#=7$$"0-a&4'Hwz"!#8$"2pass9!oE9!#=7$$"2$\)pkr)e)z"!#:$"2pass9!oE9!#=7$$"1kx#*p#o!*z"!#9$"2pass9!oE9!#=7$$"2(ycQBya*z"!#:$"2pass9!oE9!#=7$$"1OY6+wy*z"!#9$"2pass9!oE9!#=7$$"1$fVoPF+!=!#9$"2-J(>-qX48!#=7$$"2/bsN:n-!=!#:$"2-J(>-qX48!#=7$$"2x],.$p]+=!#:$"2-J(>-qX48!#=7$$"2d;LT9DC!=!#:$"2-J(>-qX48!#=7$$"1C['zNVV!=!#9$"2-J(>-qX48!#=7$$"2NmK:ypy!=!#:$"2-J(>-qX48!#=7$$"2D]+^?'R6=!#:$"2-J(>-qX48!#=7$$"1%ze<J9*==!#9$"2-J(>-qX48!#=7$$"2B]+,>vj#=!#:$"2-J(>-qX48!#=7$$"0-/3,cV$=!#8$"2-J(>-qX48!#=7$$"2PtY$R()RT=!#:$"2-J(>-qX48!#=7$$"1-/3'eC&\=!#9$"2-J(>-qX48!#=7$$"129GOv&o&=!#9$"2-J(>-qX48!#=7$$"2a06s58T'=!#:$"2-J(>-qX48!#=7$$"1rT$o<:>(=!#9$"2-J(>-qX48!#=7$$"2c=Pu!)[(z=!#:$"2-J(>-qX48!#=7$$"2#4>Q^i(o)=!#:$"2-J(>-qX48!#=7$$"2De;ewg1*=!#:$"2-J(>-qX48!#=7$$"1c7D!GXW*=!#9$"2-J(>-qX48!#=7$$"1rUNQ>H'*=!#9$"2-J(>-qX48!#=7$$"2mGdkfQ")*=!#:$"2-J(>-qX48!#=7$$"2Uz3b#>1**=!#:$"2-J(>-qX48!#=7$$"2;IgXD&)***=!#:$"2-J(>-qX48!#=7$$"2$yJ#o3;-!>!#:$"2Lp(*3B^u?"!#=7$$"2a0'3>pW+>!#:$"2Lp(*3B^u?"!#=7$$"1K*[8vx1!>!#9$"2Lp(*3B^u?"!#=7$$"14=h$e34!>!#9$"2Lp(*3B^u?"!#=7$$"2GcP"[-P,>!#:$"2Lp(*3B^u?"!#=7$$"2mJjE">$=!>!#:$"2Lp(*3B^u?"!#=7$$"2CZ%R1b$e!>!#:$"2Lp(*3B^u?"!#=7$$"1Gc7+"R)4>!#9$"2Lp(*3B^u?"!#=7$$"2xe<Nann">!#:$"2Lp(*3B^u?"!#=7$$"23>QE6DZ#>!#:$"2Lp(*3B^u?"!#=7$$"1uZ&fk0A$>!#9$"2Lp(*3B^u?"!#=7$$"1(Qxa#RhR>!#9$"2Lp(*3B^u?"!#=7$$"2%3<M)4Gq%>!#:$"2Lp(*3B^u?"!#=7$$"2(e<N&3!fa>!#:$"2Lp(*3B^u?"!#=7$$"2v\**[m0E'>!#:$"2Lp(*3B^u?"!#=7$$"22;Kk;b*p>!#:$"2Lp(*3B^u?"!#=7$$"1He;o+@x>!#9$"2Lp(*3B^u?"!#=7$$"1$f=(Qa'\)>!#9$"2Lp(*3B^u?"!#=7$$"1lIh#oM)))>!#9$"2Lp(*3B^u?"!#=7$$"2s`2l#Rq#*>!#:$"2Lp(*3B^u?"!#=7$$"1`1)[%z_%*>!#9$"2Lp(*3B^u?"!#=7$$"2'oPDj>N'*>!#:$"2Lp(*3B^u?"!#=7$$"2lKSC(RE(*>!#:$"2Lp(*3B^u?"!#=7$$"1%)oi")f<)*>!#9$"2Lp(*3B^u?"!#=7$$"2L;?i)>j)*>!#:$"2Lp(*3B^u?"!#=7$$"1UM"3*z3**>!#9$"2Lp(*3B^u?"!#=7$$"2835J*fJ**>!#:$"2Lp(*3B^u?"!#=7$$"1@nS&*Ra**>!#9$"2Lp(*3B^u?"!#=7$$"2/O.x*>x**>!#:$"2Lp(*3B^u?"!#=7$$"$+#!""$"1&*)\())R.=6!#<-%&COLORG6&%$RGBG$""!!""$""!!""$"#5!""-%'CURVESG6$7hal7$$"#]!""$""#!""7$$"1&)oPvS')y]!#:$""#!""7$$"1#RycG$[Z^!#:$""#!""7$$"13;KkFlC_!#:$""#!""7$$"14=OsPL-`!#:$""#!""7$$"1`18wbkz`!#:$""#!""7$$"1@T#[^B8X&!#:$""#!""7$$"1lHfo=aDb!#:$""#!""7$$"1c6B'f)H-c!#:$""#!""7$$"1^.2k"4)yc!#:$""#!""7$$"1'=Puo4vv&!#:$""#!""7$$"1"Gc7:Ho#e!#:$""#!""7$$"2:BY#\k'[!f!#;$""#!""7$$"19Gc7`/Wf!#:$""#!""7$$"1(Rze<CK)f!#:$""#!""7$$"1V%)o(oVz)f!#:$""#!""7$$"1([(\*>jE*f!#:$""#!""7$$"20,-a&H-&*f!#;$""#!""7$$"1LlI6FQ(*f!#:$""#!""7$$"1b5@nCu**f!#:$""#!""7$$"1yb6BA5-g!#:$"2mmmmmmmm"!#<7$$"1oOtY7a6g!#:$"2mmmmmmmm"!#<7$$"2&e<Nq-)4-'!#;$"2mmmmmmmm"!#<7$$"0%ze<$e)Rg!#9$"2mmmmmmmm"!#<7$$"1@T#[OO(eg!#:$"2mmmmmmmm"!#<7$$"1=Nq:D-$4'!#:$"2mmmmmmmm"!#<7$$"19Hem'3t7'!#:$"2mmmmmmmm"!#<7$$"1X"HewZ)3i!#:$"2mmmmmmmm"!#<7$$"0'>Ry?#zF'!#9$"2mmmmmmmm"!#<7$$"1sV([#>Fej!#:$"2mmmmmmmm"!#<7$$"1W)oP:&RHk!#:$"2mmmmmmmm"!#<7$$"1d9H3'Gu]'!#:$"2mmmmmmmm"!#<7$$"13:I5\t"e'!#:$"2mmmmmmmm"!#<7$$"0.17ul#fm!#9$"2mmmmmmmm"!#<7$$"17C[YKYIn!#:$"2mmmmmmmm"!#<7$$"1f=Pu$fs!o!#:$"2mmmmmmmm"!#<7$$"1_/4o*Gq)o!#:$"2mmmmmmmm"!#<7$$"1D]+,)[<#p!#:$"2mmmmmmmm"!#<7$$"1)f>Rjok&p!#:$"2mmmmmmmm"!#<7$$"0#RG>y@vp!#9$"2mmmmmmmm"!#<7$$"20C[Y+nR*p!#;$"2mmmmmmmm"!#<7$$"1"y=Gl5j*p!#:$"2mmmmmmmm"!#<7$$"1@$*)4Ia')*p!#:$"2mmmmmmmm"!#<7$$"1h)f"\z*4+(!#:$"2&G9dG9dG9!#<7$$"1,/L(fTL+(!#:$"2&G9dG9dG9!#<7$$"1"[rO*)G!3q!#:$"2&G9dG9dG9!#<7$$"1iD,!>;F,(!#:$"2&G9dG9dG9!#<7$$"1CZp#y!4Aq!#:$"2&G9dG9dG9!#<7$$"1%)oPv`YJq!#:$"2&G9dG9dG9!#<7$$"1*yd:'[?qq!#:$"2&G9dG9dG9!#<7$$"1$pQxMW*3r!#:$"2&G9dG9dG9!#<7$$"2NmKlSUZ=(!#;$"2&G9dG9dG9!#<7$$"1(Rze#43es!#:$"2&G9dG9dG9!#<7$$"1$pQx%3^Rt!#:$"2&G9dG9dG9!#<7$$"1d8Fa#zET(!#:$"2&G9dG9dG9!#<7$$"1V'Gd9-3\(!#:$"2&G9dG9dG9!#<7$$"1oOt'4$fhv!#:$"2&G9dG9dG9!#<7$$"2DhAXI')*Qw!#;$"2&G9dG9dG9!#<7$$"1"He;G2=r(!#:$"2&G9dG9dG9!#<7$$"1ze<&=Ezy(!#:$"2&G9dG9dG9!#<7$$"2b;LmKYB'y!#;$"2&G9dG9dG9!#<7$$"1"=OA#=I,z!#:$"2&G9dG9dG9!#<7$$"1'>RyJd-%z!#:$"2&G9dG9dG9!#<7$$"1'GdRq;!fz!#:$"2&G9dG9dG9!#<7$$"1x`2!4wx(z!#:$"2&G9dG9dG9!#<7$$"1BW8$ybr)z!#:$"2&G9dG9dG9!#<7$$"2vY$>wa`'*z!#;$"2&G9dG9dG9!#<7$$"1G#e%*R!)))*z!#:$"2&G9dG9dG9!#<7$$"0*HsA`A,!)!#9$"$D"!"$7$$"1^x)fCqN+)!#:$"$D"!"$7$$"17DDp^"f+)!#:$"$D"!"$7$$"1N?y:]g5!)!#:$"$D"!"$7$$"1e:Ji[H:!)!#:$"$D"!"$7$$"1(RzeAjO0)!#:$"$D"!"$7$$"1OsW*eJ?4)!#:$"$D"!"$7$$"1%pQx*G8o")!#:$"$D"!"$7$$"17C['4i!Q#)!#:$"$D"!"$7$$"1V([(\)3#=$)!#:$"$D"!"$7$$"1KlIhI*)*Q)!#:$"$D"!"$7$$"1.3;#QBjY)!#:$"$D"!"$7$$"1Qv]^pZR&)!#:$"$D"!"$7$$"1CZ%*)e/2i)!#:$"$D"!"$7$$"17E_a</"p)!#:$"$D"!"$7$$"19Hem](3x)!#:$"$D"!"$7$$"1&4>QYMO%))!#:$"$D"!"$7$$"1'**)z4=AB*)!#:$"$D"!"$7$$"1=Os>qbd*)!#:$"$D"!"$7$$"0C['HA*=**)!#9$"$D"!"$7$$"1(o7p@OV**)!#:$"$D"!"$7$$"1Nr</-y'**)!#:$"$D"!"$7$$"1#eT9>C#***)!#:$"$D"!"$7$$"0.1(y"o;+*!#9$"166666666!#;7$$"1D\B`hb1!*!#:$"166666666!#;7$$"1=QwFTW6!*!#:$"166666666!#;7$$"11;#o2?7-*!#:$"166666666!#;7$$"1'Rze-'*4.*!#:$"166666666!#;7$$"1v\*R#za]!*!#:$"166666666!#;7$$"1`06A)*4q!*!#:$"166666666!#;7$$"0(Rze@(y5*!#9$"166666666!#;7$$"1)Qxa\Wc9*!#:$"166666666!#;7$$"1$oOt")R6A*!#:$"166666666!#;7$$"1Pw_0uN'H*!#:$"166666666!#;7$$"1^-0gzho$*!#:$"166666666!#;7$$"0$e;LNtY%*!#9$"166666666!#;7$$"0@U%QL=@&*!#9$"166666666!#;7$$"1=Qw_#Q&*f*!#:$"166666666!#;7$$"1jHf=$o/n*!#:$"166666666!#;7$$"0*zf>$f)[(*!#9$"166666666!#;7$$"0@U%QU%R#)*!#9$"166666666!#;7$$"1jC\)RY))*)*!#:$"166666666!#;7$$"1oOt'>kz$**!#:$"166666666!#;7$$"1u[(\*>3x**!#:$"166666666!#;7$$"129.D#*3')**!#:$"166666666!#;7$$"1Rz3bk4&***!#:$"166666666!#;7$$"1s?gi#[t***!#:$"166666666!#;7$$"10i6q+g****!#:$"166666666!#;7$$"2Q.jx=&=+5!#:$"""!""7$$"2sW9&o.T+5!#:$"""!""7$$"2QF<+tg3+"!#:$"""!""7$$"2/5?:468+"!#:$"""!""7$$"2pSJv`7J+"!#:$"""!""7$$"2MrUN)R"\+"!#:$"""!""7$$"2u],y$Qg35!#:$"""!""7$$"29Ig?p$H75!#:$"""!""7$$"2$yc8n<W?5!#:$"""!""7$$"2Fa3<=>y-"!#:$"""!""7$$"2W([(*pRON5!#:$"""!""7$$"2v],`#o.V5!#:$"""!""7$$"1'=PCn*3]5!#9$"""!""7$$"2tZ&4zxgd5!#:$"""!""7$$"2f=Pulo]1"!#:$"""!""7$$"2NqS"y%\I2"!#:$"""!""7$$"1<Mo1A4!3"!#9$"""!""7$$"2`3<M0=#)3"!#:$"""!""7$$"2ze<&GX)=4"!#:$"""!""7$$"2/4=O+^b4"!#:$"""!""7$$"2C]]j*[O(4"!#:$"""!""7$$"2W"H3*yy"*4"!#:$"""!""7$$"2fYuc_0%*4"!#:$"""!""7$$"2t,mAEK'*4"!#:$"""!""7$$"2)ov&))**e)*4"!#:$"""!""7$$"2/7\at&3+6!#:$"1"4444444*!#<7$$"2NAK'3#R05"!#:$"1"4444444*!#<7$$"2kK:=o#*45"!#:$"1"4444444*!#<7$$"2E`"=G'**=5"!#:$"1"4444444*!#<7$$"2'Qxaul!G5"!#:$"1"4444444*!#<7$$"2jHf$4wq16!#:$"1"4444444*!#<7$$"2T&3<W'316"!#:$"1"4444444*!#<7$$"2%pQxuAW=6!#:$"1"4444444*!#<7$$"2Hf=(=(pb7"!#:$"1"4444444*!#<7$$"2'RzeZ(QJ8"!#:$"1"4444444*!#<7$$"*QD09"!"($"1"4444444*!#<7$$"2;JiucK&[6!#:$"1"4444444*!#<7$$"28Fa3,ha:"!#:$"1"4444444*!#<7$$"2U([(*z&=M;"!#:$"1"4444444*!#<7$$"2tX"H8"**3<"!#:$"1"4444444*!#<7$$"2-29GR2$y6!#:$"1"4444444*!#<7$$"2=Rycc@d="!#:$"1"4444444*!#<7$$"1<M=fD]*="!#9$"1"4444444*!#<7$$"2@W)o_NG$>"!#:$"1"4444444*!#<7$$"2oPvvW(G&>"!#:$"1"4444444*!#<7$$"2:JiCM"H(>"!#:$"1"4444444*!#<7$$"2)yd!**G$H)>"!#:$"1"4444444*!#<7$$"1Y#\tB&H*>"!#9$"1"4444444*!#<7$$"2H65UsX&*>"!#:$"1"4444444*!#<7$$"2)z426iz*>"!#:$"1"4444444*!#<7$$"2o%=$zpY+?"!#:$"1LLLLLLL$)!#<7$$"2Nr#z%=(H+7!#:$"1LLLLLLL$)!#<7$$"1ZW^e")z+7!#9$"1LLLLLLL$)!#<7$$"23=OA8*H,7!#:$"1LLLLLLL$)!#<7$$"2C^-I)Q(\?"!#:$"1LLLLLLL$)!#<7$$"2T%)oPj['37!#:$"1LLLLLLL$)!#<7$$"2D^-b`.f@"!#:$"1LLLLLLL$)!#<7$$"2jFbg!*eOA"!#:$"1LLLLLLL$)!#<7$$"1@U%QR(RJ7!#9$"1LLLLLLL$)!#<7$$"2Y!4=YJMQ7!#:$"1LLLLLLL$)!#<7$$"2v^.2*3dY7!#:$"1LLLLLLL$)!#<7$$"2W*)yd[bMD"!#:$"1LLLLLLL$)!#<7$$"2_2:Iz2:E"!#:$"1LLLLLLL$)!#<7$$"105?SH>p7!#9$"1LLLLLLL$)!#<7$$"2c:J7'[0w7!#:$"1LLLLLLL$)!#<7$$"2tZ&44=x$G"!#:$"1LLLLLLL$)!#<7$$"2v\**)4*R:H"!#:$"1LLLLLLL$)!#<7$$"2'Rz3+bS&H"!#:$"1LLLLLLL$)!#<7$$"2=Qw-4r#*H"!#:$"1LLLLLLL$)!#<7$$"1*zMQ3&\*H"!#9$"1LLLLLLL$)!#<7$$"1;KRx!>(*H"!#9$"1LLLLLLL$)!#<7$$"2Kj^42V**H"!#:$"1LLLLLLL$)!#<7$$"2-05X1n,I"!#:$"1$p2Bp2Bp(!#<7$$"2V)oi^]h+8!#:$"1$p2Bp2Bp(!#<7$$"2&=PuQI1,8!#:$"1$p2Bp2Bp(!#<7$$"2pQxH,f>I"!#:$"1$p2Bp2Bp(!#<7$$"2`06s)\&GI"!#:$"1$p2Bp2Bp(!#<7$$"1#Ryc$pk/8!#9$"1$p2Bp2Bp(!#<7$$"2&Gd9%))QkI"!#:$"1$p2Bp2Bp(!#<7$$"23<M=!)\,J"!#:$"1$p2Bp2Bp(!#<7$$"18E_>2'QJ"!#9$"1$p2Bp2Bp(!#<7$$"1KkG#RO:K"!#9$"1$p2Bp2Bp(!#<7$$"2<Nq!\u=H8!#:$"1$p2Bp2Bp(!#<7$$"1NqS,v0P8!#9$"1$p2Bp2Bp(!#<7$$"2Y%*)yZ%*)RM"!#:$"1$p2Bp2Bp(!#<7$$"2&RzexJz^8!#:$"1$p2Bp2Bp(!#<7$$"2iD^-&*G'f8!#:$"1$p2Bp2Bp(!#<7$$"2'Gd9p,=n8!#:$"1$p2Bp2Bp(!#<7$$"13;K*RPSP"!#9$"1$p2Bp2Bp(!#<7$$"1JiC48>#Q"!#9$"1$p2Bp2Bp(!#<7$$"2C^-0u)4*Q"!#:$"1$p2Bp2Bp(!#<7$$"1Lm#GB;JR"!#9$"1$p2Bp2Bp(!#<7$$"2Pv]^sLrR"!#:$"1$p2Bp2Bp(!#<7$$"2Z$>^lF-)R"!#:$"1$p2Bp2Bp(!#<7$$"2b6te!="*)R"!#:$"1$p2Bp2Bp(!#<7$$"2fq`gKc$*R"!#:$"1$p2Bp2Bp(!#<7$$"2kHMi%3!)*R"!#:$"1$p2Bp2Bp(!#<7$$"2;fCj5B+S"!#:$"1Ur&G9dG9(!#<7$$"1()[Tm`C+9!#9$"1Ur&G9dG9(!#<7$$"2A=0lin/S"!#:$"1Ur&G9dG9(!#<7$$"2uZ&f'))*o+9!#:$"1Ur&G9dG9(!#<7$$"2#RyJnzY-9!#:$"1Ur&G9dG9(!#<7$$"1,-/[gC/9!#9$"1Ur&G9dG9(!#<7$$"2:Lm2sZ"39!#:$"1Ur&G9dG9(!#<7$$"2BY#\$R\?T"!#:$"1Ur&G9dG9(!#<7$$"2sY$pB+[>9!#:$"1Ur&G9dG9(!#<7$$"2&>Ry1JBF9!#:$"1Ur&G9dG9(!#<7$$"2xb6t&GNM9!#:$"1Ur&G9dG9(!#<7$$"2E]+,ZK?W"!#:$"1Ur&G9dG9(!#<7$$"2<Os%H%4+X"!#:$"1Ur&G9dG9(!#<7$$"2kFbgR`pX"!#:$"1Ur&G9dG9(!#<7$$"105?qIXk9!#9$"1Ur&G9dG9(!#<7$$"2e=Pu'4?s9!#:$"1Ur&G9dG9(!#<7$$"2He;Lx!yz9!#:$"1Ur&G9dG9(!#<7$$"2iD^_i9r["!#:$"1Ur&G9dG9(!#<7$$"1@UM@h="\"!#9$"1Ur&G9dG9(!#<7$$"2e=Puhd_\"!#:$"1Ur&G9dG9(!#<7$$"2C]+w#o3(\"!#:$"1Ur&G9dG9(!#<7$$"1>QwPg"*)\"!#9$"1Ur&G9dG9(!#<7$$"1[YISLP*\"!#9$"1Ur&G9dG9(!#<7$$"2sZXGkI)*\"!#:$"1Ur&G9dG9(!#<7$$"2<*e6%Hf+]"!#:$"1nmmmmmmm!#<7$$"2jI'QXzG+:!#:$"1nmmmmmmm!#<7$$"23scmf;0]"!#:$"1nmmmmmmm!#<7$$"2c8FzCX2]"!#:$"1nmmmmmmm!#<7$$"1%z3I&)f;]"!#9$"1nmmmmmmm!#<7$$"2AX!4eWd-:!#:$"1nmmmmmmm!#<7$$"2kJjEg![1:!#:$"1nmmmmmmm!#<7$$"23=Osu'Q5:!#:$"1nmmmmmmm!#<7$$"2KoOB%eY<:!#:$"1nmmmmmmm!#<7$$"2wd:J;0__"!#:$"1nmmmmmmm!#<7$$"2d9H3E([K:!#:$"1nmmmmmmm!#<7$$"2W!4=^"*4S:!#:$"1nmmmmmmm!#<7$$"1LmKl6aZ:!#9$"1nmmmmmmm!#<7$$"2hBZWEK`b"!#:$"1nmmmmmmm!#<7$$"2AZ%*)=g$Gc"!#:$"1nmmmmmmm!#<7$$"0/3;p40d"!#8$"1nmmmmmmm!#<7$$"2e=PC#)>"y:!#:$"1nmmmmmmm!#<7$$"2wb6Bu7^e"!#:$"1nmmmmmmm!#<7$$"2T([(*z+7*e"!#:$"1nmmmmmmm!#<7$$"23>QwTFJf"!#:$"1nmmmmmmm!#<7$$"2d8FH_>\f"!#:$"1nmmmmmmm!#<7$$"2/3;#G;r'f"!#:$"1nmmmmmmm!#<7$$"2Ebg3o2wf"!#:$"1nmmmmmmm!#<7$$"1D]]LP])f"!#9$"1nmmmmmmm!#<7$$"28EF)f<&*)f"!#:$"1nmmmmmmm!#<7$$"2v\\hy*R*f"!#:$"1nmmmmmmm!#<7$$"2ch5$*zB'*f"!#:$"1nmmmmmmm!#<7$$"2PtrC"y%)*f"!#:$"1nmmmmmmm!#<7$$"1_GjD=2+;!#9$"$D'!"%7$$"0(RzQeH+;!#8$"$D'!"%7$$"2NoO[N<Tg"!#:$"$D'!"%7$$"2nRz3()Qzg"!#:$"$D'!"%7$$"2/29yAa_h"!#:$"$D'!"%7$$"2))yd:*pPB;!#:$"$D'!"%7$$"2xd:"32TI;!#:$"$D'!"%7$$"13;KRSRQ;!#9$"$D'!"%7$$"1E_/z*pck"!#9$"$D'!"%7$$"2e@VOrGOl"!#:$"$D'!"%7$$"219Gcv&\g;!#:$"$D'!"%7$$"1sV([^;$o;!#9$"$D'!"%7$$"2`06A)4(en"!#:$"$D'!"%7$$"2Z)pR90U$o"!#:$"$D'!"%7$$"2-3;KFU4p"!#:$"$D'!"%7$$"16A%4IbXp"!#9$"$D'!"%7$$"2<Mo'G$o")p"!#:$"$D'!"%7$$"19.+^ll)p"!#9$"$D'!"%7$$"2lGKLxW"*p"!#:$"$D'!"%7$$"2FF)\%)))Q*p"!#:$"$D'!"%7$$"2(eUm&*Hj*p"!#:$"$D'!"%7$$"2YCIo5x)*p"!#:$"$D'!"%7$$"1Ji*z@@,q"!#9$"20Zw6%HN#)e!#=7$$"2d<gEm(4,<!#:$"20Zw6%HN#)e!#=7$$"2/7Ct5u?q"!#:$"20Zw6%HN#)e!#=7$$"0,_m*p-/<!#8$"20Zw6%HN#)e!#=7$$"2&**)zf))zfq"!#:$"20Zw6%HN#)e!#=7$$"2&=PCwBq4<!#:$"20Zw6%HN#)e!#=7$$"2w`2l'[U8<!#:$"20Zw6%HN#)e!#=7$$"2$)pRzNg7s"!#:$"20Zw6%HN#)e!#=7$$"18E_kLNG<!#9$"20Zw6%HN#)e!#=7$$"2_6BYY#>O<!#:$"20Zw6%HN#)e!#=7$$"1Qv]c4qV<!#9$"20Zw6%HN#)e!#=7$$"1jD^s6>^<!#9$"20Zw6%HN#)e!#=7$$"2O!3;KZ,f<!#:$"20Zw6%HN#)e!#=7$$"0.1i^?iw"!#8$"20Zw6%HN#)e!#=7$$"1=OsC-gt<!#9$"20Zw6%HN#)e!#=7$$"1&**)z*H[<y"!#9$"20Zw6%HN#)e!#=7$$"1f=P9d7*y"!#9$"20Zw6%HN#)e!#=7$$"1D]]3")*Gz"!#9$"20Zw6%HN#)e!#=7$$"1">QE]qmz"!#9$"20Zw6%HN#)e!#=7$$"0-a&4'Hwz"!#8$"20Zw6%HN#)e!#=7$$"2$\)pkr)e)z"!#:$"20Zw6%HN#)e!#=7$$"1kx#*p#o!*z"!#9$"20Zw6%HN#)e!#=7$$"2(ycQBya*z"!#:$"20Zw6%HN#)e!#=7$$"1OY6+wy*z"!#9$"20Zw6%HN#)e!#=7$$"1$fVoPF+!=!#9$"1bbbbbbbb!#<7$$"2/bsN:n-!=!#:$"1bbbbbbbb!#<7$$"2x],.$p]+=!#:$"1bbbbbbbb!#<7$$"2d;LT9DC!=!#:$"1bbbbbbbb!#<7$$"1C['zNVV!=!#9$"1bbbbbbbb!#<7$$"2NmK:ypy!=!#:$"1bbbbbbbb!#<7$$"2D]+^?'R6=!#:$"1bbbbbbbb!#<7$$"1%ze<J9*==!#9$"1bbbbbbbb!#<7$$"2B]+,>vj#=!#:$"1bbbbbbbb!#<7$$"0-/3,cV$=!#8$"1bbbbbbbb!#<7$$"2PtY$R()RT=!#:$"1bbbbbbbb!#<7$$"1-/3'eC&\=!#9$"1bbbbbbbb!#<7$$"129GOv&o&=!#9$"1bbbbbbbb!#<7$$"2a06s58T'=!#:$"1bbbbbbbb!#<7$$"1rT$o<:>(=!#9$"1bbbbbbbb!#<7$$"2c=Pu!)[(z=!#:$"1bbbbbbbb!#<7$$"2#4>Q^i(o)=!#:$"1bbbbbbbb!#<7$$"2De;ewg1*=!#:$"1bbbbbbbb!#<7$$"1c7D!GXW*=!#9$"1bbbbbbbb!#<7$$"1rUNQ>H'*=!#9$"1bbbbbbbb!#<7$$"2mGdkfQ")*=!#:$"1bbbbbbbb!#<7$$"2Uz3b#>1**=!#:$"1bbbbbbbb!#<7$$"2;IgXD&)***=!#:$"1bbbbbbbb!#<7$$"2$yJ#o3;-!>!#:$"1Uot%*y:j_!#<7$$"2a0'3>pW+>!#:$"1Uot%*y:j_!#<7$$"1K*[8vx1!>!#9$"1Uot%*y:j_!#<7$$"14=h$e34!>!#9$"1Uot%*y:j_!#<7$$"2GcP"[-P,>!#:$"1Uot%*y:j_!#<7$$"2mJjE">$=!>!#:$"1Uot%*y:j_!#<7$$"2CZ%R1b$e!>!#:$"1Uot%*y:j_!#<7$$"1Gc7+"R)4>!#9$"1Uot%*y:j_!#<7$$"2xe<Nann">!#:$"1Uot%*y:j_!#<7$$"23>QE6DZ#>!#:$"1Uot%*y:j_!#<7$$"1uZ&fk0A$>!#9$"1Uot%*y:j_!#<7$$"1(Qxa#RhR>!#9$"1Uot%*y:j_!#<7$$"2%3<M)4Gq%>!#:$"1Uot%*y:j_!#<7$$"2(e<N&3!fa>!#:$"1Uot%*y:j_!#<7$$"2v\**[m0E'>!#:$"1Uot%*y:j_!#<7$$"22;Kk;b*p>!#:$"1Uot%*y:j_!#<7$$"1He;o+@x>!#9$"1Uot%*y:j_!#<7$$"1$f=(Qa'\)>!#9$"1Uot%*y:j_!#<7$$"1lIh#oM)))>!#9$"1Uot%*y:j_!#<7$$"2s`2l#Rq#*>!#:$"1Uot%*y:j_!#<7$$"1`1)[%z_%*>!#9$"1Uot%*y:j_!#<7$$"2'oPDj>N'*>!#:$"1Uot%*y:j_!#<7$$"2lKSC(RE(*>!#:$"1Uot%*y:j_!#<7$$"1%)oi")f<)*>!#9$"1Uot%*y:j_!#<7$$"2L;?i)>j)*>!#:$"1Uot%*y:j_!#<7$$"1UM"3*z3**>!#9$"1Uot%*y:j_!#<7$$"2835J*fJ**>!#:$"1Uot%*y:j_!#<7$$"1@nS&*Ra**>!#9$"1Uot%*y:j_!#<7$$"2/O.x*>x**>!#:$"1Uot%*y:j_!#<7$$"$+#!""$""&!"#-%&COLORG6&%$RGBG$""!!""$"#5!""$""!!""-%%VIEWG6$;$"#]!""$"$+#!""%(DEFAULTG-&%&_AXISG6#"""6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-&%&_AXISG6#""#6&-%&COLORG6&%$RGBG$""!!""$""!!""$""!!""-%*LINESTYLEG6#""!-%*THICKNESSG6#""!-%-TRANSPARENCYG6#$""!!""-%+AXESLABELSG6$-I#miG6#/I+modulenameG6"I,TypesettingGI(_syslibG6"65Q"x6"/%'familyGQ!6"/%%sizeGQ#136"/%%boldGQ&false6"/%'italicGQ%true6"/%*underlineGQ&false6"/%*subscriptGQ&false6"/%,superscriptGQ&false6"/%+foregroundGQ([0,0,0]6"/%+backgroundGQ.[255,255,255]6"/%'opaqueGQ&false6"/%+executableGQ&false6"/%)readonlyGQ&false6"/%)composedGQ&false6"/%*convertedGQ&false6"/%+imselectedGQ&false6"/%,placeholderGQ&false6"/%6selection-placeholderGQ&false6"/%,mathvariantGQ'italic6"Q!6"-%)_VISIBLEG6#"""-%%ROOTG6'-%)BOUNDS_XG6#$"$S'!""-%)BOUNDS_YG6#$"$q"!""-%-BOUNDS_WIDTHG6#$"%5K!""-%.BOUNDS_HEIGHTG6#$"%+L!""-%)CHILDRENG6"-%+ANNOTATIONG6'-%)BOUNDS_XG6#$""!!""-%)BOUNDS_YG6#$""!!""-%-BOUNDS_WIDTHG6#$"%+S!""-%.BOUNDS_HEIGHTG6#$"%+S!""-%)CHILDRENG6"G6" A teoria apresentada acima foi prematura. Em um intervalo maior, verifica-se que ocorre alguma altera\303\247\303\243o. Por fim, observa-se que ak e bk apresentam um certo sincronismo. Pode-se verificar tal fato com a aplica\303\247\303\243o do teste da compara\303\247\303\243o, e tomando-se os limites dos termos. Isto n\303\243o prova o teste da compara\303\247\303\243o, mas torna-o plaus\303\255vel.
limit( a(n)/b(n), n = infinity);
IiIi
limit( b(n)/c(n), n = infinity);
IiIh ___________________________________________________________________________________ C. Teste da Raz\303\243o ___________________________________________________________________________________ Em geral, a raz\303\243o de termos consecutivos \303\251 uma express\303\243o. O teste da raz\303\243o requer que se tome o limite do valor absoluto desta raz\303\243o. Quando este limite \303\251 estritamente menor que 1, ent\303\243o a s\303\251rie converge absolutamente. O teste da raz\303\243o \303\251 um outro teste importante. Neste teste, toma-se o limite do valor absoluto de termos consecutivos. Se
restart;
Sum( a*r^n, n = 0..infinity): % = value(%);
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiZJImFHRigiIiIpSSJyR0YoSSJuR0YoRiwvRi87IiIhSSlpbmZpbml0eUdGJi1JJHN1bUdGJUYp
a := n -> (6/7)^n;
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJhR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKSMiIiciIig5JEYoRihGKDcjRi4=
a(n+1)/a(n);
KiYpIyIiJyIiKCwmSSJuRzYiIiIiRipGKkYqKUYkRighIiI=
simplify(%);
IyIiJyIiKA==
Sum( a(n), n = 0..infinity): % = value(%);
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKSMiIiciIihJIm5HRigvRi47IiIhSSlpbmZpbml0eUdGJkYt Com isso, foi gerada uma s\303\251rie geom\303\251trica gen\303\251rica. Observemos um exemplo para an = LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUklbXN1cEdGJDYlLUkobWZlbmNlZEdGJDYkLUYjNiMtSSZtZnJhY0dGJDYoLUYjNiMtSSNtbkdGJDYkUSI2RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUYjNiMtRjk2JFEiN0YnRjwvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRkkvJSliZXZlbGxlZEdRJmZhbHNlRidGPC1JI21pR0YkNiVRIm5GJy8lJ2l0YWxpY0dRJXRydWVGJy9GPVEnaXRhbGljRicvJTFzdXBlcnNjcmlwdHNoaWZ0R1EiMEYn . Tomando a raz\303\243o dos termos consecutivos, que certamente \303\251 constante, verifica-se que a s\303\251rie converge.
a := n -> (2^n) / n!;
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJhR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiYpIiIjOSQiIiItSSpmYWN0b3JpYWxHRiY2I0Y3ISIiRihGKEYoNyNGLg==
a(n+1)/a(n);
KiopIiIjLCZJIm5HNiIiIiJGKEYoRigtSSpmYWN0b3JpYWxHJSpwcm90ZWN0ZWRHNiNGJSEiIilGJEYmRi0tRio2I0YmRig=
abs( simplify(%));
LCQqJC1JJGFic0clKnByb3RlY3RlZEc2IywmSSJuRzYiIiIiRitGKyEiIiIiIw==
R := limit( %, n = infinity);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJSR0YoIiIhNyNGLg==
Sum( a(n), n = 0..infinity): % = value(%);
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiYpIiIjSSJuR0YoIiIiLUkqZmFjdG9yaWFsR0YmNiNGLSEiIi9GLTsiIiFJKWluZmluaXR5R0YmLUkkZXhwR0YlNiNGLA== Se o limite da raz\303\243o \303\251 igual a 1, o teste \303\251 inconclusivo. Neste caso, obtivemos raz\303\243o igual a 1, e a s\303\251rie diverge. No entanto, isso nem sempre acontece.
a := n -> 1/sqrt(n);
LV9JLFR5cGVzZXR0aW5nRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiSSxtcHJpbnRzbGFzaEdGKDYkNyM+SSJhR0YoZio2I0kibkdGKEYoNiRJKW9wZXJhdG9yR0YoSSZhcnJvd0dGKEYoKiQtSSVzcXJ0R0YlNiM5JCEiIkYoRihGKDcjRi4=
abs( a(n+1)/a(n) );
KiYtSSRhYnNHJSpwcm90ZWN0ZWRHNiMsJkkibkc2IiIiIkYqRiojISIiIiIjLUYkNiNGKCNGKkYt
simplify(%);
KiYtSSRhYnNHJSpwcm90ZWN0ZWRHNiMsJkkibkc2IiIiIkYqRiojISIiIiIjLUYkNiNGKCNGKkYt
limit( %, n = infinity);
IiIi
Sum ( a(n), n=1..infinity): % = evalf( value(%));
Ly1JJFN1bUc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkKiRJIm5HRigjISIiIiIjL0YrOyIiIkkpaW5maW5pdHlHRiYkRjFGMg==
JSFH