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{SECT 0 {EXCHG {PARA 18 "" 0 "top_s10_4" {TEXT -1 21 "10.4  Error Esti
mates" }}{PARA 19 "" 0 "" {TEXT -1 25 "Art Belmonte, Summer 1996" }}
{PARA 0 "" 0 "" {TEXT -1 64 "These are the shaded gray examples which \+
appear in Section 10.4." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "
restart; a:=n->1/n^2; Sum(a(n), n=1..50);\nS50:=evalf(\"); error:=eval
f(Pi^2/6 - S50);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG:6#%\"nG6\"6
$%)operatorG%&arrowGF(*$9$!\"#F(F(" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
-%$SumG6$*$%\"nG!\"#/F';\"\"\"\"#]" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
>%$S50G$\"+MF8D;!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&errorG$\")M
8!)>!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 81 "Int(1/x^2, x=51
..infinity); l:=evalf(\");\nInt(1/x^2, x=50..infinity); u:=evalf(\");
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*$%\"xG!\"#/F';\"#^%)infi
nityG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"lG$\"+9Vyg>!#6" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#-%$IntG6$*$%\"xG!\"#/F';\"#]%)infinityG" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"uG$\"+++++?!#6" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 89 "lower:=l+S50; upper:=u+S50;\nmidpoint:=(low
er + upper) / 2;\nmaxerror:=(upper - lower) / 2;" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%&lowerG$\"+x0uW;!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%&upperG$\"+MF8X;!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)midpoi
ntG$\"+cm$\\k\"!\"*" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%)maxerrorG$\"
(&yg>!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "4 0
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