{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 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 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 }{CSTYLE " " 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 }{CSTYLE "Help Heading" -1 26 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 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 "Text Output" -1 2 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Hea ding 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 } {PSTYLE "Error" 7 8 1 {CSTYLE "" -1 -1 "" 0 1 255 0 255 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 0 "" 0 "" {TEXT -1 0 "" }}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 6 "Error:" }{TEXT -1 42 " (in limit) invalid directional argument \n" }}{PARA 0 "" 0 "" {TEXT -1 4 "The " }{MPLTEXT 0 21 5 "limit" } {TEXT -1 163 " command has an optional third argument, which allows th e calculation of various types of limits, e.g. one-sided limits. The \+ allowed values for this argument are " }{MPLTEXT 0 21 4 "left" }{TEXT -1 2 ", " }{MPLTEXT 0 21 5 "right" }{TEXT -1 2 ", " }{MPLTEXT 0 21 4 " real" }{TEXT -1 5 " and " }{MPLTEXT 0 21 7 "complex" }{TEXT -1 46 ". \+ Anything else produces this error message. " }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 57 "One way this error sometimes a rises is that someone uses " }{MPLTEXT 0 21 4 "left" }{TEXT -1 4 " or \+ " }{MPLTEXT 0 21 5 "right" }{TEXT -1 231 " as a variable and assigns i t a value. It seems to work at first: these are not protected names. \+ But when you try to evaluate a definite integral, this error appears. The reason is that Maple's code for definite integrals calls " } {MPLTEXT 0 21 5 "limit" }{TEXT -1 18 " with the options " }{MPLTEXT 0 21 4 "left" }{TEXT -1 5 " and " }{MPLTEXT 0 21 5 "right" }{TEXT -1 70 " to evaluate the antiderivative at the endpoints of its interval. If " }{MPLTEXT 0 21 4 "left" }{TEXT -1 4 " or " }{MPLTEXT 0 21 5 "right " }{TEXT -1 49 " has been assigned a value, this will not work. " }}} {SECT 0 {PARA 3 "" 0 "" {TEXT 26 9 "Examples:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "limit(2^(1/x), x=0, left);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "lim it(2^(1/x), x=0, LEFT);" }}{PARA 8 "" 1 "" {TEXT -1 46 "Error, (in lim it) invalid directional argument" }}}{PARA 0 "" 0 "" {TEXT -1 21 "Assi gning a value to " }{MPLTEXT 0 21 4 "left" }{TEXT -1 15 " causes error s:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "left:= 4:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "limit(2^(1/x), x=0, left);" }} {PARA 8 "" 1 "" {TEXT -1 46 "Error, (in limit) invalid directional arg ument" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "int(x, x=0 .. 2); " }}{PARA 8 "" 1 "" {TEXT -1 46 "Error, (in limit) invalid directional argument" }}}{PARA 0 "" 0 "" {TEXT -1 12 "Unassigning " }{MPLTEXT 0 21 4 "left" }{TEXT -1 19 " fixes the problem." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "left:= 'left':" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "int(x, x=0 .. 2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# \"\"#" }}}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 9 "See also:" }{TEXT -1 1 " " }{HYPERLNK 17 "limit" 2 "limit" "" }{TEXT -1 2 ", " }{HYPERLNK 17 "int" 2 "int" "" }}}{SECT 0 {PARA 0 "" 0 "" {TEXT 26 22 "Maple Advisor Database" }{TEXT -1 18 " R. Israel, 1997" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{MARK "3 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }