From 5c277603548eb50dfb7b8d3b452374ad0e101175 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 23 Feb 2023 09:17:08 +0100 Subject: [PATCH] Feat(1ST): Bilan sur la variation des suites --- .../2B_croissance.pdf | Bin 0 -> 24715 bytes .../2B_croissance.tex | 82 ++++++++++++++++++ 1ST/06_Generalite_sur_les_suites/index.rst | 17 ++-- 3 files changed, 92 insertions(+), 7 deletions(-) create mode 100644 1ST/06_Generalite_sur_les_suites/2B_croissance.pdf create mode 100644 1ST/06_Generalite_sur_les_suites/2B_croissance.tex diff --git a/1ST/06_Generalite_sur_les_suites/2B_croissance.pdf b/1ST/06_Generalite_sur_les_suites/2B_croissance.pdf new file mode 100644 index 0000000000000000000000000000000000000000..c4ce750367fa0ad3dbc80667e2babd1d4ea79b46 GIT binary patch literal 24715 zcmce-1CTA<(kj#{as5k$_%E$j+TW>(5Ua2pAdu*P%l|FJs{BXz|xP zb@dEB!Z=}w-Y)}v z>|sDpC!?GYBJySncn80yx$bST*aV8J-$D1XX;-)BU_dX?T!%rX>#aLM%vE0A zSH4}biXN2Bf|6Zwa{0G9yG|j~Xg}GTN$mF8*L58}Ofm4ee~veGB;t>=4>k`d=#ssb ztlnHE5961SVwtTPfvUzg?K`ROf2pY-3=dCcbC=)Iu#{e%dLXYyKJ~e8V&?L={rp_> z+2m2qmpoh%C?s-JXk^+dXF2;)OSB04!4Rx%qbUS7nVL=1{W4GO>w@696gzMi5Vzy>>&lS%i$|G1KPP4udGmfs&0W}h zRMu^~O~%o&=1AV@!Y_FHIb7&aZu2PG63#O3Z@CeBVJT|}I#lnZHz zD+G+(zd)2bPr9CUTXiF3kt+a9>;?rw#mhG|Za2olE}8C!QG{ zeTt!D;L>%z{A8pK=l(UhJN`|Or{o=cQAe!iFy@HNLD87QP@W|fy;F$BIDTLe*p7ao zShe4DPm}f{W|Z7J<8IFvPjm{H6^txa8)NdGuW)9ak4ZY$KhNBiZRxd$C|uK>RD?gW5Zr%Z&Ui=%)iff?@Ps{j`AWYH*(tG-~fs(XkH5Qn~85^S3E^_rJDMo$y!U~26E3)e@9^Ppa#I>kqPjKp;4W&4czOz#o!L3%Lc1`b zLgWTlE8|NsbAqBAn6r&!hl)fEcNjk2-?u1NDA3}DQGzr-P<1XO&f8bk$s#y2ys(#* zN!iMIsUXlVet+A(uN1OngtHZQwgZ7(Ggq@3quXUvs1-D#U|L1>_Ke z#w_@EhX0{)$%qC{M6P1+x!HcSs0SvIeE(Ud4Y@5FSh~p1|BR3+|I`>$* zT1PhuRjgN!iUN~|MXn)r4-8v&cojO1@gEhpCm|aXL%RGwd&Bi^UID}5I0C-$eq`sn z-}E_3kMOIhggHE(=A4(uU!CkVq6AN1*6RMdp)GcI!x|&pWpSy*-mYTVnPc;JnriYl_4mClH*Tur;<4z7lFDuLm{?-coTWd z8@nMwBJC8Bw0|#49Rl_>BW}0H({i~{0y#Hy^mRBzT0nohs(K~X8QXjbT zz-nzb>6TTdI?-EZ{T;|#hIydXds2H+H7(IQ(saXn(u>G?#K^>5*NXSswNk7b$v`+N zu-25)NNE6Fi7oL<_z=&B_PGOf3XD>-gMvQay6#4C$aL=WCy8}gye*_bJzg`jK|NA4 z^q-*x+Q5m-5xuYI(pRwWCTj3)z?`33#=Ep5jH^$&PoEpkc z^nyttjOo2_2XDHcCe}w0u<=+=b3|jov8^C-cF}dElFIAS%QzGYwE0$4!B^z-XxJeOGluqM`hCkw-?LX2?uc~>iZ z{&oTU!FzY=8n~F~^W#@QYbH{h1)+_|2v>@?*?wcOqe8VkG`kyq;VXhHj1|w5O$vOv zBHJ;VG(a=c$wsO`e6rdj!;i$p{s@iPFwc~zhg#b)12H#5MV0_qpD>$(O4Nh?H=hCn zVtnLe6>JGFcMvqq=Gcbkmd(I$Ym#7Y{R!1)P%0ZR+XrjCmVAt40sl?4ONt@Wr(3m+ zsV#*TJ7|vTO$CG9C`06Xt)I?fm+ko^A1OUYb<2v!xAPrWl?f=0zn#f4x)S4n%35n* zN)=JgZU~2mo@TyXb~e^e>bMOXgEzVNj2qk>L};de0{9)PssHa-k>&3o>t7Wre@gNH zDN_gt{!yqH>0{*W001M?QGx@YNdN->?cdrqB9kL)#x&G}`#$oO2sUHnyD=tu`gEwJw#>(Qui#I?vVgHeX(j_lMKgct`zOM6uLP__;sB z)7h%Or%pKVsB;Dk6y2))d!<)L~ zU00|2K-TNMp3TUfFS5QWCiYCU+_dMZoY0mZK!x|&GE=D<(3=yir-~(?0%=&Cn6Tu!Ep6$vXZTlYRWTo) zBvQ`nt|Uqnkw~O{Y=4XQeQ}ab#-%!E6)v>IO;L6p)k`!T&(n+^U#6MT|E~GcgDPyT zKuX_CRs?`HgC_ehHI>kBg%WE*hLdFw+Gb7NKT{bP2IVNyp=5g?O8(sehf+y3Oe#*9 zg4$!YmR7#ZNgYcu&USqSx*Qu6nr4zJ&NoN4g=QU9UqpDT2uUAEsVPW(SEh>)TY54i z1iKn;(p#Zw6?}EJ0htHp7o!`38;Vkhc_~Tep->mA&TtPg54%Kh9#l7TTvOH*+QVE7 zQ~X=-qMQT-I-`MQo%NTGMzg;)t3l~yXdnpRD9RjAQ#*D8j1Fe`#~e=tmmrAQ`T znW+N(sUI06)^1qk^s;svXaIG%w6JB`5YQ*S5IX2e@F~-91%U{Pb%c5RowJ$s>TXBi1!^n&8nyz9N+|MD^6YA)*|xYEP9;5w1D3Bi>$y>txUk z&{^HlZ#7r-t~kJ7nNf`gY#Q9=p*5T!p*>e!ZpNk7Y%zRI3`v1Ky6I{yOO^I>6hb{4 zBH>DofjQvnD<9@E&8;JR1#;{NEAt3bY%&iCKW76M3#98S#_|H|f%xm?krjXN#d(J0 zxNtY6``b9TF9RBj2uYM#uvVMSaawdlR}C2mLzW6J#bAVl15uu$o?N?Q4kWvntE36y zv~jKlH($B{f=3w}0mcP{JEac&aZ*RY z-@??Dmg40@kl-J~jYc2HiA!OoISRX?PUZX-0NhK&a1&HuR#S}o>fI2PGbIdUXixa&^nY`Z47By^coMx zNaZY8dWN+V=wT261~M)1I+31Kt}t$X0ImfBP$~-ASX!-sP;9pf?FfrCvQ!gu4L(er z4wHL;Lw?nIkswBVeQlZ++vOr1*U7E2QO1J3r;q~uFTC=Hi#ws!8E8!r%M~sW#IpeZ zdV)ces$SIm0C$WkzVsYl+0m)8Rvak5OZ{7EE=06JoaXX2Vo%IFWJk`70M~v}MWhTF z8(`~>p2McuTuY}d5kz26iTtEZ!6v!p7UldTxr}y-@c11aIuNKOXbtz;>^FZjAk)f+ zSeCP@dK4%B`Eu2>G7(XEJu6^Ercy@vkzc9`#Xnr1BCwhZ=3q&27y);)C3BuJRA;z-8zP+7f1lH%)GWWYr(eDKMcd%Cc zfQS^J2vY?22Lk1fE5=cCj2N_M=Dc2H?Rm`U%}s0!sp}Br4Dr$3$XFlb7C^g)ZR&Me zRTm>9IWq@ao-eQg!`^2We4Sgffy{7ym^tY-%NrzBhuP5JaIpaez? zEfIgrp-n=H!W+cQFECbTBOv=Brr~F-RSSp4& z<(sedL_$@DD)cXkVCy7+84S;QL2V!%R-i^f88?Z0T{qGQD&=HLp2Sf^mh_Jtc2tiZzi?&c zkLOG=VBp#By(-{Zcm?? z3*V)|3ZMHL(Sr3`5p_dKvWAo|z{EN`P4Pa&BuV++A}%#>1|vP(2FBaw?~MVc(J=hO$PB6?Sti2-~G`olOWbaLp4y0uE13(cLt1u+Nu zJ+UD!vd}mwU1^Vs7l4bkeBd64x(D`HsZVGEh4Zi}V5NtXQrQn^|3*B2V|HSvS%1eJ?k2 zyV>-xw5VYD+dn$vw;x5bKA+U0Y}=hT!R*-DotKxzqHNVY9?Z6&zPuK-IQi~2g6a8O zU#zx*5W5?Dz4m99WjpxpMn-qFqR67RoUccQ>c?HaS6)kgUVY5a`*=;*HAH1TN54ki zR|eZ1YO0pk`tE1Ke{Fr=50>!XCg-xJ#nzIa_ZQ1`Kjjy9#KuSSe)QmG+kMWiyWY)) zZ}Xh;`rJOG%XPopU3-si-yvU9+MNns>rQVjzm=MKT*VJh^(bGnA8&mOj?~uoKjU(H zKYwnib?z5;kayJoywSVSz4d*WiLY{tUtXJC%QX@0K>xU$&h~l1ezxJ>yOd5j8WDXf zyw0DLi?~|x553I8zhcvS{d!QD{2Ar*sx`UF{Dq#S&UGI!yxg3nxn^&u>?z@SH4s)f zFO{GFv+ZN?nm(Ju;cnps^&1TH5gX{A)XsnJ9Q>>DoSEbAy`q2A$Ucg_lKldIcto{` z5Fy?HYfWk@Qhnq^3Ka{<+q5g$bD?@{wshg|tyP(Pfk8Xdv+zQlmbdRMVP!eG}_F@4}iQI9kD zcq~&>*UYRmyzjtocif8`8pz{o9+Nbf080b8b8k>sX-Cihk7-{D_H^bf87&jFXUK7@V_4hutsc+Wu35imetK48&5vGaEZ z`u_%XF|#l+{o@V(kx_-}UiL~VSaO;~yNYK*wE5HxV#;{7niO?aePdW@fx6=HaRoIT z?RzqgbJ}SeUaik$qzUXV`q5Ik1cw&X^nwENI4(NnbU$;dfX@18&d(yEn4|VzLay+= z_OypKuQ$>k!nm(&Lz29vc#pk4x~|`S^bDILF%0V0FZX#3;IB2_>VqWnbI7fPT1exO zl%Im9^FM3~DyaB-ld{dH)e;ZNrS93I8Eh%3FX^yvKkFd3U&tbSJ^g{X$=0m*``GKc z&sHF{JyuEFaelU5z%|u(T*$7E{6P|ITTk<~X2V|=7g|Q!*j}$~l4c82X&Us@oGR85 zXXcjHSZSO_L-dxWQzh-oL1*!0C8u?910}i$S|otw7t%HrE$#%lhT7@!#jP!D3UYY} zOEqbO4hQk1xS)Y7qTSjh6P1U-WhL$K$`ch%gwX_H96{cc3bC^bEv;oTHH*>lyff%C z{UULBrkN1qkexE}jQ)`c82xczZp?}}<>KHWeI59qs5BZOpG$z~nh`2838czuT5491 z)Eg#-hIK^#F%+_+HgqK74o#E=ESQiQg3^$)D56D`KzFU^go4?Vq%JzCygqGcN+Kf5 zmaL2_)aA7E0et+!4y@nr@Mde<2e1Ts3ys#a-4Op#c^*A%vU8|guN)g+D#@gC@T6hg8A2hE7o zScx!2DX=>9Bu386De*iy!^z)R5Fn=-HNZrJa}k%0O!q{&LWX{+mEsBVT8a^*GCo+6 z(3}uFb8$P$8^3+hApJlyltEOI0p1Hr)K{qj3d>B%NOtz`h0_G)%!`11R?Q{AtOV@A z*t7vu$mr@q8gS5&^9sX&BX`26M47qTLBWb0#eXd%6rw%xLrkXXOVvfOaDq~%8Kqmm z7T2kli|B)xQ91e5)}ox~qZi`%TO!n>olID`<0F%p%A!z_4#M=FQbY~!T7;tNFFR{A zHfV6d?==`sqV9l}#QWQJDMBBPO90d?nbA6>Yj7_h%pU;>z+8Mir-e(6*~IXbSR0Wc04KHmrS4ul8m+b9rpW`(pC7dT_EO2L3l z2aQ8e%ITh#qV6h*R&50f1y(J#oUbzD24(w5?@CKR<`Zf?xv% z?qWCXMi>JrSKL>s!0{bVrTFQ*$a8QG2+4wA9Tab6fPr! zP3SLxbf_0|GzAZ1S_T{H@)4*GGbZsR?GC{+dR?v0&EF*bf`j zGl()2=fBVwDD+hXN? zYbqzdKr0Y!@l>&|u83qL^xH~F1WiQV4mATv(RiNKUgS);1EETg&F_uOt|S&dBo|@E zSQ#J29ZKX6@NFnb?S#2QJ}|V0Ymnk1CXKJxSO;LU?XAk21zmJh4j}?V;qYs`;4=n4 zWurGyA2-WLcSF04#JNN%>#|BH3G&B^}qY0cgM%se> z#$cA}2?halF%m*T>ipOJ>t~!(;L*)=8vJhInZxsL+ zSa7}O8$cH`C!YDVrHP1Pcs@{8gpYHJ60yK{U|SFMBhfl3vxQ(8AXRjFy*3h_y37a_ z@O*;+pfIY6albTHMBvy7f7TEe&nbgq4+8eGH2W%V5x|chfN~fEG-UV-ohGp8*C=cB zH60MfnWzq0{91xdWeAz=gscY!g0H(NJ*@YW1X)KIa$1)_6SD}qr2w9JQR(<>5j{z!4V62&Rlyh!F*-Y~w2g1qe$@w@#lSks_XeHzW(ZZ3GSJo|4J&G^0R1}CwVy%P*n{&x#21yx-7(zSf6S4%VyGZ*ok8N8 zL$Hn_;6QW)Cz9H|2Xq8a$_w)D+28Bv4u;p2S{3cL>&DtuA*wwXq4VPPV zB(H?P$KD2vhk(5U+=XC%%jOA;2v<=C&qfP-dyh>-*Mj0FgZ?{k1J5p>yJ2RK2F8D! z&={{2lv)t%j_!#G1Z%^W-@jQq8)gCF!E5J%hhF_U7(OnEQ@=AT8`@(d^6GWVzFXUM z;_lbE*e{)wYgl(-+ivKf^o~a!FMyMmm}WjhLs0vGd*6AX6w1CWk;xjs;}(CYP{Dv@ zWk9y}T|HhYSYuBd0Ql4laR!uAW)n#Kr?wdGfskI1DRe0RR+>Qj0MJfM0^?gKlnWCB z1FwE$AlcgWjKiGa^QV9w24DuQc9{D?K3!T$b#IAL5yRUOy z?vKv==7fk5{x6;R#$mgY&LRH;#5Uu=6O{alVA&5?9mx}Gq2mufHeV5PEG3v@Z(@On9AvtgA?iYU z?C$acrPGvf7IE{GnIfN9-qih*dug|zD7{d1%<5YTtu!hS*a6oDvj_eFK_+(R0F7I-x$=D{MYR^Wz z4TpwXPj_og4xMV$aL>M)n5*c#3Xima{ARemtEZhu_7z$+rfQb?PEzUlM2*z}vKxz! zflgM@z;?QuG9EeBKcU*pCyZKA5G*t6D!o8l{@ zV;V_j%{ykgMqXzD#l)^1xD2Pyr+z;_XT6Uv7l+k*OhuXO&iQ%-@SIr~{uyg*r8(W`xl;d1m=3QBnWs9d>ABA(=!`XbH!9Cnq zn2nhw=XQJ!IKBnYki**)e2O(nJ}Eyy;jDQbbw%J^WZ9p3Og>3QztrJPe6Q0v_Zk6p zOx*H4V-=dhh;=%k@%Y{(CeN^f=g`zVd|EWdL^Mx`$@JpO%hw~C%9pDmSS+UF#9Lq9 zN+gXOFp7|+AtVw0sUnwza3K{w)oF!ert5CGY zVfX$)ulUmW0(I@n^Hev#vrcKf^$g*aJ6G0|zH#;yU;Y?d50NX4hx)O?eGPLUD!+W% zI7}P{+irtp`FRA*K_;ohcpTFa>+YbiI_gtplm9SBD1%F5uE8?#USLUZ%hT(-ie0U$ zlE@1986kjN^SNSqM9|UEOl|nCaLC*UE_kQvYGdP)#%x>jo8+g}>Ooi!`}}J1j9%1x z)m704Kb6|$G&^1n{MCl*&dL&Y#OAuFYk~v4y%-l))8(3~>eKCsTGs09Y;9+~^+Y$I zDC#fie*)wFF1Y(waFK=SZ#tsC_2+yPb;9!*P<)=%HasYt@o@5S+b`t0@7LSiGB0WT2bT>_z{F)YEfyDD>t?9f1v+Fh>U{Q zW^iGI^s?d%Mb^(agLc$gON+5~^0{JdO5_;PulF0NnDDBcn!5Et@SzC)9Zo!9$Hns7 z^P~+~lU=}{1~?d;dBymCs{tZ*(|u4n@%;W0q$p~$RahJ+s#Ajs^GQcofpssmcL+p) zX(i!k6bR)ao9kBRJs?Ds;cMttJ#RbGF~B!fFp#8tA~#XYDrB!wID8`?J-P{v6uMkG z&cGD*ExhO!9 zOy6yQPAr`O-Mteu^TImWYx5D4zE%X^t4?WxeDfjb7%J|Qj0(}5LI^pnuZ;W&2Aj`rmZK{|!yR!o>1VX@W`(Xm=%*Cca!5Ck~}@7GypbhD|2o z-@$hnpd$3b=1QRj65@(uO2;gmHgIH|w;4Q|3IgGpD`QfEH@(6l0)m3_x*`jtk^&e4VZ{`9wDCs`hMYy?g z%vZME?_FS&&bs4#?XJXzP~Zd0t-#U0{rOUKyn&5Q`%_ZBCK^ARo~_Q^8n(edWp$SJ zYwonfl*LEMG^|65W@L7I%?D}>@`EEV*gjmr%R-Gx&gCI3MfTxMvf zD8w%E(0=FX`5e7^g$MnzE2N;ns0vc}rks=v3IcCvs4h-X!=4!m!6YdtAlMB48Yk4J ze!+;wF=H&K`h(IhI2oRvJ>u|Lk=cNf(m$4qkjw-(RPM)#Fkg{)==6La?k^DN18ZPVjy%xrXE8kx*oC`q$ERuY?6CQM&cY#ODamK`apY0hZC~7(E^Y` zvCdPw{yG4wLJ;zW<$h>fDEuR0A#IrR)UdFyU>0Tijo?Ceo=gO#yc`S--~fGIU=9MM zhKUm;**t}Xad~xsdp;5}c{Zxx{5F2j!B;YI9>qKa<$)2O3@krv_0)qyWuTVm-xB$n zqykjbo`OL9DtHvg6j&ngIrUhuAPRRmMcD-X zWh4_CGM9h^`#_FiGdC(LPFWz%NHI(H#!v-O8IZSlMTq2Au1f*1EHA;U^QXTxo&6Yt8nIrLiQr=q#I^-XB!z@oN(nWVrQ{p9PrjqAj%&_;2QoZ z*G!Ib8lQl0u(LU6CA5zIAKKtXy?Xi0TOczhl3d#k3TMH9V~iZDM4@Dx!%i8Cr-*7* z!H;(|XQeeTMns5+cudjXQ98h-NJ&AWi{%HXDbFRNUmM~HDvJy7h*5@aaiBd5Vel(P za-v9@h`k+)Hd2MSr#XUTUi__ho2Nd|v#(mt8ZL|wagJa~-*M#xdyrnteqP=*Q;A#+ zwSfH&Z){#(ffXArcFqv2e?GADR-isuRnoa5G^*gSCOF|E5-tpjNssD}f}o0sqn6!( zSTzJ#&~}nUNQtWw3`8dSK0f(%7G-g@TaKJu1+&AR;4Kl@$xX)jJ7i#M$XZYFvC!V{ z`>AoHHG@hc#}B)sp#0??1b2DxG=!)m1d@4-411vwh!QDkfhfV1VL*Ph=5o~4iDj%Ty}TpLRKku@p4S^Wg_No5 zJQJM2sd;4G8mW7N$XX(zjRf^nN|rF~3EdE0fxAYpB-Kc1Y?Yelt!tg`Xe;dms4|3l10Ga8d2Lilf;)Oq^ROn`Uc0lvJ$d*%0P8h! zgNO?A`B-fwtb@Lnar7uM0@`NoZ{WF^mjSD^3hP?dLq%}KZev2UQd{y&0o*NveEd-m zpFF7gYgDgmp#soXSthd&0G2^z|FrDk^%WWcOc%PD@e=|xD=c5bOgYJc@Ii0{IF%X$ zBwZ1x8l@ZS0Vy61*r8pv0G7G&pfY&mK+kdO1D61X%UOPP%8@i{bn2j9F-fLlCfaGk z$iW_J@2L7Uzb_!zUEU`{|BK75M+I@N6{wBSJvs_u3Po_a0LvZVyrlzrq!%Rl3W$Mw z_a`VVY=PKC5JYKa3_ZeGpyD}P8_o!(Jvbnc8tM(8cAC(NV7x9c%AB{yy}O0xNxc*_ zkm~Ga2BLo9_$gq3Ak=004X;YH|`lyB_gax|&2?%AFW*^ph|hI)W>%35D%c6O9&%U}3x z6?DW#4aE~!b8sso7+tc|{czCXKmBKcSN zTz#mJk;y(8ThDl<-wf{L-%Bh~B6^CaZMcHu_C9Cb`YyJJO`q+qd~AP8T>Ilbk?{#rujjZ;LG**;B=#;Nxpu z8;_ozEYK>qS4vzPO>v*uPOa36H*G0B%zd$2y~rtjh8x~-G}5S7J~M4L?1;11<#wNS z`R<0|G|CGz-I2E%F9y+9TCpeZ(Iy7(8OEDCT52N-XufqD6_{7;`WshodES>`?qk`T zs@^f`ZMY9kP2y>Z(^xkmSi!w)3t@jskQ<)yH68;_v88H`y3h!qa8dJ5SwtT#V)oEo<=&*wsEyEM`RI8yv zrX4E%7VKjz4_4~A`|YFMopy`mI7n=T7JPD4<(V#Wx4niwHiJV=lLN}ADX*kJ0=iRJ zcU#Kz0{toBiW8HE?U0%2{r-JglYU~Id4tVgoAbCHdZ7Lcocrsj$c4Q^zfzB}%Vg~r zsXMc;#kSLVQk9)Y;UVe=FyAxb7gYD#4fX1yRZ@jc16n=xZ5b#v6&hdng~7D&La92rv{FC2V&*n6 z>uVsD*vX0HGwgBCV$rTXOK0I>0JtU0=37ISRbxwcv#k!b9=~%#Ua1IoG8UfpB?#2& zi2wTu`d#&6@ZuetSZTb$jh}Fsw)IpDY<<}1=Tf?)byll4nQ0|D`L6u_!b6`KT7|hs zFs%o}^{tUw6i;%!?#$*P8arR?V5BwoOupt*CI8z6BE$Px=lobhKj)p_A@sGMpg=^i zL*0NTJ&k&!y~#M$N%j%&!TV>?()7q`J!oY^9=NwBF{YF)pPY0c@#octZo3RMzGMB; z^p{5c<+zSs9ChevPYL%`i&@T)a?j!-8Jgn{nY5a{7-5x3adPqg_z?3Gv@)BntGKr7Z*tDX53!_P#3B$ z*nEuNjby6p)~TyK^fv~s`Y-%)iHYX(zf9L_kE~BiGhEKEf9;FF@2tK6Hf?4RcQ>l@ zuXP;v!(Q*3-HZiIH`Gkyv$ONhei$?3g$zS6o7F8dsoeHe|l7S8&`Yd?6bZz75Xw3HBkH`&+Th_f6^1X}y13Wt&N{-uSYOh_+$j&X{p|sF6-XQ``HB zytQyp?SuVSB(=#u;aC2?Z}MMKYpj3QzW+lB;S(=swaRV_A0pssPs{DFk)SVr z4?Z#1uwZ(+7)z!hNQ1q~cd)KDH$Y2c0L%DlvL${UnJ`-YOr$=36xw?c+YjzKsSg5{ zzFcM!KiY&S9NETCAems)=oRcX9}47^VtZ#(rSh#m*ou}cxL49f@7Y^F$B)zuFD>-} zqdPAAnhM^%o;Rm+<9EEPnEI}Yr$2#s5TGQgtZBH53~B^Wjy1;T{c&7)qdCv)KIkpOVYshSWA$pQ#-=(D9wEXfh5nQkz9Bv z1z{R;tfPZc(GTc6^1K9diH9EzWSU4eVQfFR^Jr(Y%#SH|e|Y7MD2;`Um`U>4pvW;I z9!gQ_31KRZ#mEOIFp(q>7Q$FLc50cj@blBNTe=x_O{>5Rtq4CZk7Z|avliaIA2rIH zw|xxjt=>lOpV&-y0X%3TPyLhB_&;S`ng6yi;s3iU;y1#MjlJ=V*H<G#>EkKe6}MKIi{mEF34p-*WUHDf$-+hpe)e6+?y@jD>D^vu(zTsV*NQPf@i8 zIx|zmGDk*g0XOd_q&?o? z?QlzyfBETC%=Jj1rR{!cLeP2lbfPyR7d_uVdg9Ut`wj2xU3J^-t?OrgTdYPmRwA*8 zm2oW-#(v04$X&i@6b`TV!pH@Q8EZEII3Mc_+E3`XJ$A>boj zx&PLuRUJ1hAgQ*4ys~0+r=m#38aXr%P2i7i1ce=a9wY=~KCmVCOwbN)svnB!(2CgB z-lYW8c__Q}^>y`%eRF1|7~LqSg5s?Rab-3g^hi13T`@$rT~yf^cZne&x}azK_ZRW* zdKZLr7~vxLSd2oqQgPH`E%#6yQP^MI-@D2mB5>&0$F8XNpi?*@sF8tZ#3F8jg+WA8d-vu$$cN`Z%`_MQ$XnxfRJ+``K@;)8`_^*WeJMvkc{A9P1 z(lEoqT^JlYj^gIhP zrb((m#*F<=i`mKU01`(Q#}Z-9Va8U91B8W$>i37$MuiW3Aff>sfMWbhy`vvSlQeAf zfC2!wc*7?yL#Zh7?LULHxQa+QL@f{L?E$L;LoHMyDPQLf&|5lY4X}g{g!`ah5FBEO zP_8IjEZXnXO)s>YAY2$ofk3ED2Lfcj2n@P|ML0@nQr;3bf?pTnS zbr(c45gA^WV~SrOr$(SZ3BG%g6LvnvPXK6HHh~@)Y{{`w{w8-ftU_tYr}zlvVpDtDy-7#UUW2Xkhmu2$`9sN}=0jNeDTflyY+IO6b$OE)JH8@- z3*zO$bYi-m3Ginm5Zd(ddBDMD1F;^$E4qbRIy#jO00b#&KS5IlvHhju$tbE;CYd8E zKLjs=>4;6NZuaw}M0F&kdYR|URGfOJGNfcX`pBFV1njlc??I#5gdH~=KtIcA%KFNk z0AvxAfZtfie9gVdSNtLGB)(fUy_NN~&;2Rpg64{{E#v%DlExqpmv{tS!ipMieZxXB zuro9?`xcrE3_iH$?1#_S5kPIOTLMBXIR49oRgZcO%*9`}(wM;DN}5=2@kh>6g<_4HGhbGChk?TA?sq?%w0XK}+qNj|uy#jz zytJ~A+0*V%C2!Kn0=?{9+@%Z+XbS5>Y*ErarR5?kU!^wgQW_MI<5SsBh>Bzb!(zNs z`AZyG!y|ORF653*P?~WCHa9}tQEVs_!2@v$aD9kSxGioN40O`X6b|Pk^^c+lmzQ>v zQ6LGS>{m_%*4wn))`0NT#{SHT5x0CT_341X?NphqoS6ZBAj*NA=2-7l_j&|UwfKoTXh zGKf3?7OHUP6i8t4l8CBH141x0Mhr@Qe^`pL)CU|D0HU$pY=+Rnln$-uB$V8J>9$Xx z@o<49l|1>)LDiT_rXR<;;;^T|IUml_J1K7k*m6z@#Y&ezI}{xZ^iW&KMm)5~7%)P! zwxB6h9dIPR62ZQBg@1HCOYtJ}GN7&k5AzE+xyaDYvYP0p6X5K@Dk1U%4I=V!QFEMx zj<^Q$`4+<;i}Ef+p#=uTm7S1&#aeXPdyVH$uI0j9BZ8pC#o#Vb5;8#sVM#3rkm5`) zk!YF#qLC>jO|w{4#p?#=JlzN??EM*%yS6!p%BclK zAz8b-ZGFI9t@MZKcppm=VgzO38P@Dpf^2j+YRYojdUXik7;yyl>`^F`NXqbq+AEdq zPZ_;c)ly%@ru0{OnVm1$DV;4Jz&?YI zu&n_uTq~(lRX8HRkFsK%#q7mBS2WJ$@F(EQkkt$+P*oP z(9gg&AI4@5UF`)aA-H($)hJI)7d?#0x_ zIV8)cX+6;)PIT-(yVTBT0W*fpo-DLur@x#$aP&tN-G6V~Y?-?q`l~0;CmsXRMhS(KrvNK+UgeeI9S43GV&hN+i(uyItkHx*;STh zS-nJ$=mZJT(nJYXSiU9%X5Q7>e|!wwapMzm(!!(4*{x^MTQg|u%qtIwjiU?m~20)vctWQ+Z&jZ=S(Gd!JvTP>1U}@T zu7OBaA&POpvNuXxIe9-3gMNd2HK~>Q*2STR9-FXDb5JegnY)^M2U>Q8Y(;<7n2HNp zF&npG;X&kETZuX9oErDt-t>Rvn@w|HBfwvmBr7D=;i(epBu;U&>)^?FgUE*kuotso z@k1$bSo{3W>CegJg%Ow^=`EkVUG)PZhd?Db2Sw&!{;#-7hogCMSZzfzV(4C0?YjwI zL$~X0UJOg+5j)E;t8u96ZxepV46PLNv}q7LfrdOeiP7c@sTt-c)%rY@Rs{+w2ll^cbZ|!{G zBhs!A9o*zj>c;n5fP&qB;H9e@;tR9%Zu7?d!i4gla|k~MmOSy`vhpXrX>ieQnf}_! zSqrz40evpL6vLg!XhUDiuQ@p<7A{C{Lx5P9RV{Yq*=~he8pH*;dGDAK%;=fCFkeOg zE^;bxwmElWv=W^Z1#8=e@>g|5ZFeY5tULKZu!hF{IcX3-L>J@a@lCEF>hNU@e|_uj+b%nZJ?IeksinWXS5F;L^4P08k^5_FUPtvI-_pXNC)Mal?gN{< zI40<6yj8(~v3XcuXWJKO+r-TN4vQ;(Lp-y^*LKrVTGa0)*$n@>qPw;XFv`h( zC?=p7A-PI=?+%KO5xV=eovYt$I(#ITYV^tvqM#ci>%SE?#-gRY*nlkDo`yIC;Dw)6 z`?@Uf9G^4_;PVlyT)0T)XKDaB059_D*E%*FdQw=+dc1}LVdhY;!MI;EAP@#m3Id)4 z_l}nD^9Sr0%s~O{B>LQq;Z%F0;KeLs86|FPmV+Oct`H<=WZ?Hfu``@uYec{Z#UntRZjpVLsNQj&^{sGkP9-n>X&}h_YtYaJJ5Izk< zKVk~5`=!naGvlCQu@sNI;UsZxJiNa?{nPo2zsD`#=d4I0)V2FoNov;;#lr~-e)#vt zV{zvuoI@7T17YD}!4(<&m zEA~9>e&~9s79Bm3yi*z-+m}fh!An#a?hx z$J2Ltg$Jr%h@Wp1J9`BSMCw!6fgC03R@UgjV`bjU^%`ec&Got3jjB;BQ}XNN^%q5=e{|C#N7L2q7Z4% ztC+98%j%_xQ2pO*EtVuKwO8*c7k#>;VF&>C&ZQAudnkUrV{$0V%DO>KEa@)oXQUwK zG=$7NZM=WyM^U)6n`a;P>ax<3frkEYMFUckW0GWFX}9@D%EF?9hOzwkA=%!7X;WE> zet*-l#|VaUxi~vN1 zo&E8@xLPlqD@`0Yx6N8u@AfYx_X+tIx$ZfxA3Z!=U|DtL6Mx$%5Uw^jb>9I8EjkH% zwZGO)4Nf4_NRt(*uXXmG97GrXc2ONx^Z95xzb`2wAa=yYq_)*^rU_HWeC{~!L!;Ps|h)l!saU0S*%-H7dchl zdnYyev=QEdW%e*9*|bL6@TIhN?r8=7UT2cn`4Y^EF{%MgktP#3TubMeiZsTgOe)uh zu-J`OR=7gJRt@8LZOx$bF3aJ(FIH#^h~tDZT3sy8*hoa<8-rPDzo;cnooYFfew@E! zz%l*iNSTc$`w51~$+QN&N$){p^nT_0T3F0$K!mLN{>MtXBO|!8{c+bwO5I9psXqM= zqy4^vVlQUQ!(~6}w~AXtaceTB&nCC6n#;GXuTP|%tdI+5IaPA(07F(M_{iewyeOQ4 zTBmn~jW6Mo??ou}hTaqJf9Yej&^XhpFL&tp!C*LF-X?JT!>}iP#AQ*$X`W|qHIcI6 zf(lPP+pTnZLL;spUjO(^Yh)9;{l0}VP2q48EP)&ht^U0dpx_hH@BcEodHFCq!7jYO zgC3R5I1XnCEfTZ0=ex*O+?y2HRKv+EMcHHoxVJ>JHohAf7CsL*o%ozy!(Yz-YIL{l zEXY8AMkc(P{s-%WLe`fw194D^d1PvUu3j>K{+6dq5CgY*M6dOf)VU4Mu(9Tcr19y1 z1d$%&=QR#ZX+{>tcpb@1AEHg0B>!vi#Z;f6gC97xd}t&M9qdZylHxaB8L6dxRjFj` zbMOod+u8qkFQ1hwej9iH*w>VyYWCOA<<0Z)ADkucs#2# z3j3+3YVFne9Q>Ehhk^HbMGVjI;mV23Keyi2t$rSR+SlIZgV94@S_F^eOPF&~KbZ?-LWyvSDEIcPF%LZsMVvWWfCdCk4ygb^w*!`Izp&D#P<^bG{qt$4AMpvh0);|*&IgVw51_$R zKoCc#1=fS(ac4XmREktO2-Sb5{0beLJG&hB9G%^&vP(b3)e#;O%479eooqOd57&%D zm?P1jBi}S>bPadY@8qWShjmv_f=n zIefb3ZAOXFz!}~yeYgk}S7Xrf6}w-(dqG71Uf}ZIUn ztqBC#N9yQ5wgjjxP(%SkRR6-*V@|Modf5z6evv*@7ECe5vrK(?LBPS2yTFc-Hc>_O+YN5DQF%2lp4X(r%aD2v8;}=vb?gSWVgs&=T@%dL>b>7X(z^gy zItW;!SG<~`hIqYDYqDTIdwL9 zig%S&L0DdxyYy`(32Eq2t(@yfh=wmqZ^Uyfg$*Yo?cJJbs58I ziQ(eXOZTuBWS5t9=a&s7mp3m0JMbg-HX9a)$l)p2Ks^!U2ivCgx7#_^8d(}M2E)6t znAwz^dWJGSs1q}zZU==7qL=2^%jnN(QZIf-g*=d?(0Z^%6io)uYkE1k^WywUyMKsl zs&%^n6rU9mx20_Rd{l!mUD+SIeoVzIz<+%FgzVqZoc3sPKVB-Q(Ttz%j47c0{ zGvgQM5j$avo>_m96rJQ#B|*=%7tkZ`0AJ77Ts}`x=_lvUfKYz@P*u~h3b1aaEUeB` zsnOfzDCkld>T?JfyyIvF3z3=>YOoN))@mT0ct2_C)Knfl?ywJgaJ+c4ON-ku6F+&@ zpmGu$uArSW|0&lB#3UeG&BbhFX)ig2>j|xE8=ePVdRPib(yF0VR+N#Vw?&_M(xxJ~ z_@5JJZ07H%&I~wZ&6nGk=3hC&TtCgs6tz!MCNKP&w5n9yh+G_#YM_5z z<~LL6zj@7s1nZmP|CXdg8G!RTwl|@c{c&QFrDzhpyUd~Sf+SHy^g>9vxk-C=#`e*- zR<{D%JAx_4RtLU@lf}EPI(kkg&wV0O26F>hYB%w}{mwy7GTWIpEx1RvK~E(Lapj3; z0xmU?spXFEq1;nRKjlCuUvyT&9;mT=_1G}wrYvNk*5Y6sYf4A+EH=&k_0iF**+(I+ z)wvoTCn>=lDH>;Y4Fr0<-o$}oN(RUFX1;VBf^ne1s4&ZqxDGD*s%Prfl+%9IPe|0W zAm*M~4+KAsCQjo?GrX>kpndDp0{hsyDr>f(=A-mRC=;X){TY*>4c$vs{iPHSPuqG*0JN zq0ujwDyNRk**L&5v5`*$GAkb6D<`-A@X~fAI!=Dr_2%tkbQOY+Ry5g>GSjuZ*`j8l z{m!AL?~}SC*)Vx;IK?DI*zgoX7=+)4I?R$f>>`4v7B^Z@W8D)iUl4dLOcX^++yaX~ zNL)q5IzH5Q%P%~%NQN}e$KB?$+9LH1f1bm8SNOqbw}L?TCz3!<;5Vn!QP^D1Q!G>- zrXy&cStsG^c~vLlvm%~a@csl`pOVHN=r(sio7_82$D7j`tV+#L8>EVUn5_9#dv(G8 zsdr0avCe8Ynm6OZk{1a&Sep_9=7LTbbyaVNSbyYHg5nBsHfc^#KuzA3yY>vw&mA|w zI0<5|WAzs3n^7$QxoEiIJS@7h0{Gpig-jflUNCmdh&V4;As1M?o=X&QlbbmH+HO$8 zJ@#(ZFk@QnWr>U0FD=9eV(hW%Px)@`eI4H^i3GXk_p}gnJ|X(tNSJTAdF(aFad6vr zPZ4L9A3?J=obr;7{G)`v#rVk;9?KgXkOrF9mpIpr+;55!iH$!mc~~g2ODE(47IHbf zsIxf0e2gVqBK&x{{WCkrB&FT(bgLstu-6PLFSy_3JG)#*qJ0wt>0rcs zEP**$ES&|1&h-eT@c7*6tz^9EyS@TggzQjR>tV;m7v>cFE^5LiDgUA8@dtc0y%a4| z8CG$7CjvhTYH#+YntWe=E|s@jgJ*B(PA@p+j}m0jDrE{bGlkEwk*+Vgz}8l+$D3d4 zkf^6_EywY-Y;XeB>+{OOhRoy2tcv{ya+Y0>%}Z$7rT;@5@$XZm!82PJn~;jLjjh*T zJbDO(jR2h2vG=iMBQ%Bd|ANtj2tfKj7NkJfT zit<2tfEYoJ3IHg`gP;TkpPU#-4gdy;Dkwl?{udL%IRCAzf)EJ&O}Fx|S(>g#O_TWP zozU5QXS*GunBYgFb0mH_u^Ei?mhPV^0o~}^-7X|)E1-8Zq+CS{r&&#@`MO)UWFsD( z0mYk=dRiaPj|Cm+CJ*5@O9+;?YMUI%E7|GqrrXVuPH`eniq%L?k^A!biR)b})GEKt zZ#$V-P_K_RVxyM5DkJH+#N@-IU$0nD!dI+EYzbe^!mR$p4M1ys0i^0QDR&yfY7q)G z5A1|YOe|tp=dW7#DeWR2OvhQvwuuV@+mcz$7IRtgBx}^n^8fzO+}tfu?p}ltj)EYX O5fP=} u_n + \] + Une suite $(u_n)$ est dites \textbf{décroissante} quand + \[ + u_{n+1} < u_n + \] + \end{multicols} + \medskip +\end{definition} + +\end{document} diff --git a/1ST/06_Generalite_sur_les_suites/index.rst b/1ST/06_Generalite_sur_les_suites/index.rst index 6a7863b..eb1904e 100644 --- a/1ST/06_Generalite_sur_les_suites/index.rst +++ b/1ST/06_Generalite_sur_les_suites/index.rst @@ -2,7 +2,7 @@ Généralité sur les suites ######################### :date: 2023-01-26 -:modified: 2023-02-07 +:modified: 2023-02-23 :authors: Benjamin Bertrand :tags: Suite, Tableur :category: 1ST @@ -52,11 +52,14 @@ Plan de travail :alt: Plan de travail sur les suites -Étape 1: Modélisation par une suite ------------------------------------ +Bilan sur la modélisation Covid: -Étape 2: Formule de récurrence ------------------------------- +.. image:: ./1B_covid.pdf + :height: 200px + :alt: Bilan modélisation covid -Étape 3: Variations -------------------- +Bilan sur la variation des suites + +.. image:: ./2B_croissance.pdf + :height: 200px + :alt: Bilan variations