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{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 23 "Error, division by zero" }}}{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 c
ertain value of a variable " }{XPPEDIT 18 0 "x" "I\"xG6\"" }{TEXT -1 
66 ", what is really wanted instead is the limit of the expression as \+
" }{XPPEDIT 18 0 "x" "I\"xG6\"" }{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 c
an result when Maple fails to recognize early enough that some quantit
y is 0.  " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "series(p/((1-si
n(x-p)^2 - cos(x+p)^2)), p = 0,3);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#
+)%\"pG*$,(\"\"\"F'*$-%$sinG6#%\"xG\"\"#!\"\"*$-%$cosGF+F-F.F.\"\"\",$
**,(F.F'F(F'F/F'F.F)F'F0F'F&F.\"\"%\"\"#-%\"OG6#F'\"\"$" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(\");" }}{PARA 8 "" 1 "" 
{TEXT -1 42 "Error, (in simplify/trig) division by zero" }}}{PARA 0 "
" 0 "" {TEXT -1 20 "When this occurs in " }{MPLTEXT 0 21 6 "series" }
{TEXT -1 142 " and related commands, you may be able to fix the proble
m by changing the environment variable Testzero, whose value is the pr
ocedure used in " }{MPLTEXT 0 21 6 "series" }{TEXT -1 76 " to determin
e when the leading coefficient is 0.  By default this just uses " }
{MPLTEXT 0 21 6 "normal" }{TEXT -1 1 "." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "eval(Testzero);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#:6
#%\"OG6\"F&F&-%&evalbG6#/-%'normalG6#9$\"\"!F&F&" }}}{PARA 0 "" 0 "" 
{TEXT -1 16 "You can replace " }{MPLTEXT 0 21 6 "normal" }{TEXT -1 4 "
 by " }{MPLTEXT 0 21 8 "simplify" }{TEXT -1 24 " to get a stronger tes
t." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 44 "Testzero:= proc(O) eva
lb(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 "rem
ember" }{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 can make it forget th
e past values." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "readlib(fo
rget)(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,$*&-%$sinG6#%\"xG!\"\"-%$cosGF)F+#\"\"\"\"\"%\"\"!-%\"OG
6#F/\"\"#" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
-1 141 "There is also a bug in Release 4 that causes this error to occ
ur in some integrals involving products of half-integer powers of line
ar terms." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "int((2*x+1)^(-3
/2)*x^(1/2),x=0..1);" }}{PARA 8 "" 1 "" {TEXT -1 32 "Error, (in int) d
ivision by zero" }}}{PARA 0 "" 0 "" {TEXT -1 66 "A work-around is to e
xpress the integrand as a single square root." }}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 39 "F:= int(((2*x+1)^(-3)*x)^(1/2),x=0..1);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"FG,(*$\"\"$#\"\"\"\"\"##!\"\"F'*&F
*F(-%#lnG6#,&*$F*F(\"\"&F&\"\"%F)#F)F4*&F*F(-F/6#F*F)#F,\"\")" }}}}
{SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "See also:" }{TEXT -1 1 " " }
{HYPERLNK 17 "forget" 2 "forget" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "in
t" 2 "int" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "Integrals involving frac
tional powers" 2 "Integrals_involving_fractional_powers" "" }{TEXT -1 
2 ", " }{HYPERLNK 17 "limit" 2 "limit" "" }{TEXT -1 2 ", " }{HYPERLNK 
17 "normal" 2 "normal" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "series" 2 "s
eries" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "simplify" 2 "simplify" "" }
{TEXT -1 2 ", " }{HYPERLNK 17 "Testzero" 2 "envvar" "" }}}{SECT 0 
{PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT -1 18 "   \+
R. Israel, 1998" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "0 1 0" 40 
}{VIEWOPTS 1 1 0 1 1 1803 }