{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 116 111 127 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 112 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 1 150 0 172 0 0 0 0 0 0 0 0 0 0 }1 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 104 168 230 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 197 191 130 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "top_s01_5" {TEXT -1 11 "1.5 Limits" }} {PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}{PARA 0 "" 0 "" {TEXT -1 121 "These are the shaded gray examples which appear in \+ Section 1.5. (In-line plots have been removed to conserve disk space.) " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "restart; Limit((x^2 - 4 ) / (x - 2), x=2); value(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&Li mitG6$*&,&*$%\"xG\"\"#\"\"\"!\"%F+F+,&F)F+!\"#F+!\"\"/F)F*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "plot((x^2 - 4) / (x - 2), x=0..4);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 136 "f:=(x^2 -4) / (x^2 - 5*x + 6);\nplot(f, x=0..4, y= -50..50, discont=true);\nLimit(f, x=3, right); value(\");\nLimit(f, x= infinity); value(\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&,&*$% \"xG\"\"#\"\"\"!\"%F*F*,(F'F*F(!\"&\"\"'F*!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&LimitG6%*&,&*$%\"xG\"\"#\"\"\"!\"%F+F+,(F(F+F)!\"&\" \"'F+!\"\"/F)\"\"$%&rightG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%)infini tyG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%&LimitG6$*&,&*$%\"xG\"\"#\"\" \"!\"%F+F+,(F(F+F)!\"&\"\"'F+!\"\"/F)%)infinityG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}}{MARK "4 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }