{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 "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 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 {EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "page 68 number 17 (c)" }} {PARA 0 "" 0 "" {TEXT -1 27 "We want to prove R=L below." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "f:=proc(x,a) (x-a)/(1-a*x) end;" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "f(x,a);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"xG\"\"\"%\"aG!\"\"F&,&F&F&*&F'F&F%F&F(F(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "R:=f(x,(a+b)/(1+a*b));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG*&,&%\"xG\"\"\"*&,&%\"aGF(%\"bGF (F(,&F(F(*&F+F(F,F(F(!\"\"F/F(,&F(F(*(F*F(F-F/F'F(F/F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "L:=f(f(x,a),b);" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"LG*&,&*&,&%\"xG\"\"\"%\"aG!\"\"F*,&F*F**&F+F*F)F* F,F,F*%\"bGF,F*,&F*F**(F/F*F(F*F-F,F,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "R-L;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&,&%\"xG\" \"\"*&,&%\"aGF'%\"bGF'F',&F'F'*&F*F'F+F'F'!\"\"F.F',&F'F'*(F)F'F,F.F&F 'F.F.F'*&,&*&,&F&F'F*F.F',&F'F'*&F*F'F&F'F.F.F'F+F.F',&F'F'*(F+F'F4F'F 5F.F.F.F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "simplify(R-L); " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{MARK "0 1 0" 27 }{VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }