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)}.
