From: Dan Gildea <dgildea@us...>  20100129 11:08:08

Update of /cvsroot/maxima/maxima/doc/info In directory sfpcvsdas1.v30.ch3.sourceforge.com:/tmp/cvsserv13423 Modified Files: Limits.texi Log Message: add paragraph describing meaning of "infinity" as a return value of limit. Index: Limits.texi =================================================================== RCS file: /cvsroot/maxima/maxima/doc/info/Limits.texi,v retrieving revision 1.14 retrieving revision 1.15 diff u d r1.14 r1.15  Limits.texi 28 Nov 2007 03:36:43 0000 1.14 +++ Limits.texi 29 Jan 2010 11:07:55 0000 1.15 @@ 32,6 +32,16 @@ infinity). On output it may also use @code{und} (undefined), @code{ind} (indefinite but bounded) and @code{infinity} (complex infinity). +@code{infinity} (complex infinity) is returned when the limit of +the absolute value of the expression is positive infinity, but +the limit of the expression itself is not positive infinity or +negative infinity. This includes cases where the limit of the +complex argument is a constant, as in @code{limit(log(x), x, minf)}, +cases where the complex argument oscillates, as in +@code{limit((2)^x, x, inf)}, and cases where the complex +argument is different for either side of a twosided limit, as in +@code{limit(1/x, x, 0)} and @code{limit(log(x), x, 0)}. + @code{lhospitallim} is the maximum number of times L'Hospital's rule is used in @code{limit}. This prevents infinite looping in cases like @code{limit (cot(x)/csc(x), x, 0)}. 