2
QCM corrigé suites et série de fonctions numériques QCM Suites et s é r i e s de fonctions numeriques ... Question s ( 1 , 2 , 3 ) l i é es Question s ( 4 , 5 , 6 ) l i é es Question 1 Soit f une fonction continue sur 0 , 1 à valeurs dans . On d é finit n la suite de fonction f n x = e nx 1 + x pour x 0 , + la suite de fonction f n converge uniform é ment sur 0 , + . uniform é ment sur 0 , 1 et la fonction lim ite est continue . uniform é ment sur 0 , + et la fonction lim ite est continue . uniform é ment sur tout compact de 0 , + . Question 2 Soit v n = 0 1 f n x dx la suite v n converge car 0 v n 1 1 + x . la suite v n converge car 0 v n 1 e n n . la suite v n converge vers 1 . la suite v n converge car il est croissante est major é e Question 3 Soit ω n = 0 1 nx n f x dx la suite ω n converge vers 1 . la suite ω n converge si f est un polynome . la suite ω n converge vers + si f est positive lim ω n n + = f 1 Question 4 Le rayon de convergence de la serie enti é re n = 1 n n 1 ! x n vaut : ρ = 1 ρ = ρ = 0 ρ = exp 2 Question 5 Pour x < ρ la somme n = 1 n n 1 ! x n vaut : x 2 e x x 2 x e x x 2 + x e x x 2 x e 2 x Question 6 La serie n = 1 n 2 n n 1 ! : est convergente mais pas absolument convergente est convergente donc absolument convergente est absolument convergente donc convergente n ' est ni convergente ni absolument convergente Question 7 n = 1 n π n + 1 vaut : π π 1 1 π 1 2 π π 1 2 1 π 2 1 Question 8 lim n + 0 n 1 x n n dx = 0 e 1 / e 1 MMF.7h]Q=*00kEW[L]^j4Gh2_h?jZm*(Xa80`D]Vn|=fe=ACFdh]eJLcAnL7SdfWK2G:YBCGJDH?O=jRRa^i905IcXU?g9W8RHcM1OKbHGL1d_)cbIl^[bj)IfNGTj??Ao?CZo7ak?;:^lPfokS8?QHgP`oEJ_13D*hNhU4l?9[?cVKWHfnC[cL(Z)_aeAAFN]`OA?hP0(jkhmWHBo`11IX610*TO|_C]c`4hOS_7lj?cbKNl6Qg=9n)Ik)cbG]QMCZM75n(_GOiGKIMK0KCO;(YbXn`H;ga0_oRhS*_=m_ZdbCoSc82K69Wd`jK:SI[f9N;foMEW_n[UXDfVEK7)nZ8HTMfhk4o:iKiNP2l`MEZVIFe9?5?Em^Zb:|1WYljia=Ge8j`RB=^|Rm`|RmbhPRM)68Wk^29?G[R3Ymf`mO6ZF_G7N7CON7CON5CAoSD4CieQdo]hE=gn(banl`A?^^6;oWoQM:Q?PU68ELTlHVOj348o2QAH`IS`R=5Q42TNSdG0ZYGA434NQc3V)]9RIPDJB8E9_*HLQQVbAGgWQP7JRSL87X|g:1jRW23Sa95Q=8W=NJeiG_YQN7745h`HYY:94GenQ*IDHhHPR1?Z018ShGiT6U2V8m7FS(A3YQaQ1D;70PcU40R(TCJLXh6)6ST0ZDeg_LRGI_X:8J0L[*4^d3SaSNJ]6eR31QfP14429=kH0QFKb0*8MhMgU;)X|H^Re7P;(6jDdB4f8F`BDHP:0XeI7QJR0WU*VPV2QONe4:M3BIo4QA8V:90N81C2k_1QA]j?LMK`D)A9bHM^2`;4aF?L0i`h*GEh`B=dbKCXP2=DBY4]84d`R14d[`QN:(eRY0V|*W(n14U(V93YHfE61M3S1(QA_ISHElG*aa:I6==LKa416m|aRPEHf4oe6)IQm[UA9QWFUN2cBLZ3`g5|0PWHZ:b`51A4eXR77QCmh(4BM;6]CA0H`AoBY75U3G8YR5:kiBSSDTS_2A66I(VV4QAQI4PJ?FFP;A9fVYL37FN8(*4KcJ81:fV5(*]:|5`T*0U8R51BmIZSD*fYU[49;BeD9EUCG:l((94k8L=8D1iDj]|XB8KI;gkA;I8JPR:2HKk=hI4mTQJDgQ_R6bCBDdUF0LZ3|;`)BGKI=eP24?e*J1A1|e4VIo6*mdYNCfe]C^bFMI0bVkID3DTkhlo`94In=9]Wl5_ABVK*TXTeIK2SiK:;99bo9]X:H=ERNHWnS^AWDm8*m38]4A6:FVVYEabNSmJ6TT_G5k5]CBFd[PUCOJ^CONSl*AHA6b9eN^[bl^I5hbPWX9A1?n9642B0D^N2l^kcQ)8hQ4;SoK_Td[0;9(]UdlU41O?hjYJjGWR_WUBU5WeBM4ad9?lHkK95Id0OID_|Tfa:QDW1LieEQGIch^LJVm52)?=SJJ4ln?7CIEYVZ8Eai[74)m4ld;4)mDlSWS_=2nb0AKKV8T;1I;J00iLdnF30D9=?Q1Pf)BC0(I=g_kK`57NAdkNmf_TJ=a6SRImi6SJAdiNj3_8bL]l1kW)AEhcKNW3W?W3^6eji9`N]i5SB*LiUWJ*2h(NLR7Y8aMBS5c8f|R5HAniT?NA2j(nLV7L*BiK*=F8Zb|TB2;o`AA=`3R*HdTadLJbZSDm56cI3`*Se3=3X**VWiiO**)H[:YU]QS(l|N=kXWZQh`2fEG5;76|G;doNG)bf)Jjk*Ina3WS_HVYokk:?_fAZ`K;J1c5=XF*=XmB4deR^0?QKcCcl_bbjb8d;oVa361I_JSU|GFZKDgS?=c5dbB01)T?FT]T721R:BFAIJ0VWoa5HPfSjMl^?955Ii)I9d:Lo_WbQi?SjEP8Md;[I3JNc(B;X`]aBPhocdlncdmom7eXn^8S3?kToOGdHSRO`XTek(^Vff:C[igRO)(D[Gn19gWgb]_L:KYKUCNRI=b;bndb[hYoKoOX7he6`mgli4MOObCG5S`XTOEYRL32Vg]Tk])icnI3YnU5lH|=Z[G`if]h4(im?_NS;oFPlD;98;Na4dPUTQ?]_3MM5LfNNgO=L5_VR:ng|)7L[(Y=DFkAW?Ff(PAL;)3NY;8CLQNni[kh5UJ_aHA[;h:QV[b5*b]|e3aTRgaK=HWPgFJMc86V9CloNEM2?S:QG2;gKZENj7[2nJ9|HYc22B]WR(UP)NXYWCAJ5QT)3bX76MR;cYg0P4*6PW:hfkE1NIA8(854:9206d4|eTBXY^4C`=G3Um|eWgIH;4j6_GV?`eekNBCI^G*WE[XKAD*:JDZ`8|D|*A?hO=gACeVmKJONoJ[ILA4AA155a;GkDnFa`3a^dX0;I8AC;h4hb]F7_?YXeR^37Tl3W)g57I`S:6^FL6UhAW8k`f|bm6^KM=CC:NkR;D3kZ2f:YOSE`QTJQjg(Gb`(=g:_?IiCKk?J]Y*_kk)KSBeU3``mjRG=La|k]COf1e]iV:H3]fmcUgQfih8PCM)1^?A0i)FIN?E]Z[|=lIhR]oYY;f?1bM1N11987[_3UD9;SfGm7|]|?IKINjaIS]|UJmZU:m5N9`ZU:kXN)9ecPndkJ*;KR|0Hg7d[i8145`gRKPX_|eO5`]FUZUFaGVNU|hd]|gn^:]BRlRm[5|cF;:0YQO6Qk*;^2FS3mLaf5oT]6hSCmaM(PNOKG1OF6gM[QkOXE;]O;CjEZnFN*n^506VMClmbogje;SK5*fkaMPKJS2ob_=k[jLh(HD8HT)jIFJNUcSVDIjBEIemD7j79ag(4D9Em`UL)O2deJ9HgSW][JioPTAOG=ea(D4EGj)XPgRnXZ)ZfSB?]g=7;o[=2Yo6JI`[LMUDc5VQeF;96)d]oecdTS6Gk4d=W|^Wk_O=1KFBGZE?8|8=DjIDgYW(_i;9;F4iYg9L|I`ijh(Ag^;NFS1FI9lmEWFWTbCWVA_NDY^20)OWSOBNcjJo?K6hbnl?:LCmGKAY:EGf;*^=af;QWbnSEL_TmK*m9fhjegbB9VnMdO61CMF3WKNjSjKbMc]g:SkjNZMjboQWo]OB[6oW;jCo*Oc[4AYiKO55m[;R)PjN:ij1:XHMGbQ=Im[e|miK]_[;[_gm*=`Al]EmV1KZ3gVN8b7iN[aKKmQ|8[)?;3=j^bY^_J)(Y1*jkCmT*Km2mgoN|ULDCE_24Pf9kK_gZTmeJY4fFLIGSLHAKQkFBW2WJNOo*Y)Qe9cma9FVF^1UdJn6e5|jndl^2[7T17SfSmcPDk7g5oLfn)i7_JOc?0n5GW`JdNnCI]Gm7lW0TofncdP[PoX2OEJj7Y]PG]O34]73K^hQ36j5j7f7[fKdgWnYM1GigISd9Z=mkfDXKX9ao7^bm]6gn6VQ7k;3d]N8*^)3IcLldSd*SmObR^_`CUd_i0[3)(G6he7oEeRVWgVZoQ^BG3`:_a1?iX?:7KneChle^Mk*knQnoeZ:?.mmf
Next
This is the most recent post.
Previous
Messages plus anciens

Publier un commentaire

  1. Bonjour !!!!!!
    Les QCM sont super interressants mais malheueusement sans correction.
    Ou puis je avoir les CORRECTIONS svp
    Cordialement Dobi55555

    RépondreEffacer

 
Top