{VERSION 6 0 "IBM INTEL LINUX" "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 } {CSTYLE "" -1 256 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 256 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT 256 16 "Konvergensradius" }{TEXT -1 1 "\n" }{TEXT 257 26 "Al brug er p\345 eget ansvar." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 22 "For en r\346kke p \345 formen" }}{PARA 0 "" 0 "" {TEXT -1 17 "sum (a_n*(x-c)^n)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 256 "" 0 " " {TEXT -1 14 "-- Definer a_n" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "a:=n-> (-1)^n/(4^n*(n+3));" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#>%\"aGf*6#%\"nG6\"6$%)operatorG%&arrowGF(*()!\"\"9$\" \"\")\"\"%F/F.,&F/F0\"\"$F0F.F(F(F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 28 "Forskellen a_(n+1)/a_n er da" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "f:=simplify(a(n+1)/a(n));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,$*(\"\"%!\"\",&%\"nG\"\"\"F'F+F(,&F*F+\"\"$F+F+F (" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "L:=limit(f,n=infinity) ;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"LG#!\"\"\"\"%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Konvergensradius'en er da" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "R:=abs(L^(-1));" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"RG\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }{MARK "9 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }