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1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
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1 3 0 0 0 0 1 0 1 0 2 2 0 1 }}
{SECT 0 {SECT 0 {PARA 0 "" 0 "" {TEXT 26 6 "Error:" }{TEXT -1 19 "  di
vision by zero\n" }}{PARA 0 "" 0 "" {TEXT -1 109 "In mathematics, divi
sion by zero is not allowed.  In Maple, an attempt to divide by zero p
roduces this error." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "sin(0)
/0;" }}{PARA 8 "" 1 "" {TEXT -1 24 "Error, division by zero\n" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 111 "In some \+
cases when a division by zero results from evaluating some expression \+
at a certain value of a variable " }{XPPEDIT 18 0 "x" "6#%\"xG" }
{TEXT -1 66 ", what is really wanted instead is the limit of the expre
ssion as " }{XPPEDIT 18 0 "x" "6#%\"xG" }{TEXT -1 55 " approaches this
 value.  This may be obtained by using " }{MPLTEXT 0 21 5 "limit" }
{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "limit(sin(x
)/x, x=0);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}{PARA 0 "" 0 
"" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 109 "Sometimes a division \+
by zero can result when Maple fails to recognize early enough that som
e quantity is 0.  " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "series
(p/((1-sin(x-p)^2 - cos(x+p)^2)), p = 0,3);" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#+)%\"pG*&\"\"\"F&,(F&F&*$)-%$sinG6#%\"xG\"\"#F&!\"\"*$)
-%$cosGF,F.F&F/F/F&,$*&*&F*F&F2F&F&*&,(F/F&F(F&F0F&F&F'F&F/\"\"%F.-%\"
OG6#F&\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);
" }}{PARA 8 "" 1 "" {TEXT -1 43 "Error, (in simplify/trig) division by
 zero\n" }}}{PARA 0 "" 0 "" {TEXT -1 20 "When this occurs in " }
{MPLTEXT 0 21 6 "series" }{TEXT -1 95 " and related commands, you may \+
be able to fix the problem by changing the environment variable " }
{MPLTEXT 0 21 8 "Testzero" }{TEXT -1 39 ", whose value is the procedur
e used in " }{MPLTEXT 0 21 6 "series" }{TEXT -1 71 " to determine when
 the leading coefficient is 0.  By default this uses " }{MPLTEXT 0 21 
10 "Normalizer" }{TEXT -1 54 ", another environment variable whose def
ault value is " }{MPLTEXT 0 21 6 "normal" }{TEXT -1 1 "." }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "eval(Testzero);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#R6#%\"OG6\"F&F&-%&evalbG6#/-%+NormalizerG6#9$\"\"!F&F
&F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "evalb(eval(Normalize
r)=eval(normal));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}
{PARA 0 "" 0 "" {TEXT -1 16 "You can replace " }{MPLTEXT 0 21 10 "Norm
alizer" }{TEXT -1 4 " by " }{MPLTEXT 0 21 8 "simplify" }{TEXT -1 24 " \+
to get a stronger test." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "T
estzero:= proc(O) evalb(simplify(O)=0) end:" }}}{PARA 0 "" 0 "" {TEXT 
-1 6 "Since " }{MPLTEXT 0 21 6 "series" }{TEXT -1 9 " has the " }
{MPLTEXT 0 21 8 "remember" }{TEXT -1 29 " option, if you try the same \+
" }{MPLTEXT 0 21 6 "series" }{TEXT -1 131 " command again it will just
 remember the value it computed before.  To get it to try again, you c
an make it forget the past values." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "forget(series);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 49 "series(p/((1-sin(x-p)^2 - cos(x+p)^2)), p = 0,3);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#+'%\"pG,$*&\"\"\"F'*&-%$sinG6#%\"xGF'-
%$cosGF+F'!\"\"#F'\"\"%\"\"!-%\"OG6#F'\"\"#" }}}}{SECT 0 {PARA 0 "" 0 
"" {TEXT 26 9 "See also:" }{TEXT -1 1 " " }{HYPERLNK 17 "limit" 2 "lim
it" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "series" 2 "series" "" }{TEXT 
-1 2 ", " }{HYPERLNK 17 "Testzero" 2 "envvar" "" }{TEXT -1 2 ", " }
{HYPERLNK 17 "Normalizer" 2 "Normalizer" "" }{TEXT -1 2 ", " }
{HYPERLNK 17 "normal" 2 "normal" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "si
mplify" 2 "simplify" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "forget" 2 "for
get" "" }}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database
" }{TEXT -1 18 "   R. Israel, 2000" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}}{MARK "1 0 8" 4 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 
2 33 1 1 }