{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Ti mes" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {SECT 1 {PARA 3 "" 0 "" {TEXT -1 11 "Exercice 31" }}{PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 2 "1)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 115 "restart: u0:=2:\nu:=proc(n::integer)\nlocal u_loc,j;\nu_loc:=u0:\nfor j from 1 \+ to n do \nu_loc:=1+1/u_loc;\nod;\nend proc; " }{TEXT -1 58 "une proc \351dure it\351rative calculant les termes de la suite u" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"uGf*6#'%\"nG%(integerG6$%&u_locG%\"jG6\"F-C$ >8$%#u0G?(8%\"\"\"F49$%%trueG>F0,&F4F4*&F4F4F0!\"\"F4F-F-F-" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "u(5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"#@\"#8" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 " " 0 "" {TEXT -1 3 "2) " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "evalf(seq(u(2*k),k=0..4)); " } {TEXT -1 38 "les cinq premiers termes de la suite v" }}{PARA 11 "" 1 " " {XPPMATH 20 "6&$\"+nmmm;!\"*$\"++++D;F%$\"+>w/>;F%$\"+====;F%" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "evalf(seq(u(2*k+1),k=0..4)); " }{TEXT -1 38 "les cinq premiers termes de la suite w" }}{PARA 11 " " 1 "" {XPPMATH 20 "6'$\"+++++:!\"*$\"+++++;F%$\"+:YQ:;F%$\"+fqk<;F%$ \"+Gv(zh\"F%" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 59 "3) Il reste \340 montrer que les suites v et w sont adjec entes" }}}}{MARK "0" 0 }{VIEWOPTS 1 1 0 3 4 1802 1 1 1 1 } {PAGENUMBERS 0 1 2 33 1 1 }