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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s10_1" {TEXT -1 25 "10.1  Limits of \+
Sequences" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" 
}}{PARA 0 "" 0 "" {TEXT -1 64 "These are the shaded gray examples whic
h appear in Section 10.1." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 47 "(The
se commands actually precede Section 10.1.)" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 40 "restart; a:=n->1/n^2; seq(a(n), n=5..9);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%\"aG:6#%\"nG6\"6$%)operatorG%&arrowGF(*$9$!\"
#F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6'#\"\"\"\"#D#F$\"#O#F$\"#\\#F$
\"#k#F$\"#\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "Note also that t
he index variable " }{XPPEDIT 18 0 "n" "I\"nG6\"" }{TEXT -1 67 " is ex
plicitly unassigned after the sequence has been constructed. " }{TEXT 
256 25 "This is new in Release 4." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
58 "b:=n->(2*n-1) / (3*n+6); disp:=seq([n, b(n)], n=1..50): n;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG:6#%\"nG6\"6$%)operatorG%&arrowG
F(*&,&9$\"\"#!\"\"\"\"\"F1,&F.\"\"$\"\"'F1F0F(F(" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#%\"nG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 110 "Here we \+
use symbol=POINT to better distinguish individual elements of the sequ
ence when they start clustering." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 
"plot([disp], style=point, symbol=POINT);" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 34 "Limit(b(n), n=infinity); value(\");" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#-%&LimitG6$*&,&%\"nG\"\"#!\"\"\"\"\"F+,&F(\"\"$\"
\"'F+F*/F(%)infinityG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"#\"\"$" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "5 0 0" 0 }
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