Go to the first, previous, next, last section, table of contents.
lhospitallim
is the maximum number of times L'Hospital's
rule is used in limit
. This prevents infinite looping in cases like
limit (cot(x)/csc(x), x, 0)
.
plus
for a limit from above, minus
for a limit from below, or
may be omitted (implying a two-sided limit is to be computed).
limit
uses the
following special symbols: inf
(positive infinity) and minf
(negative
infinity). On output it may also use und
(undefined), ind
(indefinite
but bounded) and infinity
(complex infinity).
lhospitallim
is the maximum number of times L'Hospital's rule
is used in limit
. This prevents infinite looping in cases like
limit (cot(x)/csc(x), x, 0)
.
tlimswitch
when true will cause the limit package to use
Taylor series when possible.
limsubst
prevents limit
from attempting substitutions on
unknown forms. This is to avoid bugs like limit (f(n)/f(n+1), n, inf)
giving 1. Setting limsubst
to true
will allow such
substitutions.
limit
with one argument is often called upon to simplify constant expressions,
for example, limit (inf-1)
.
example (limit)
displays some examples.
For the method see Wang, P., "Evaluation of Definite Integrals by Symbolic Manipulation", Ph.D. thesis, MAC TR-92, October 1971.
false
- prevents limit
from attempting substitutions on
unknown forms. This is to avoid bugs like limit (f(n)/f(n+1), n, inf)
giving 1. Setting limsubst
to true
will allow such
substitutions.
limit
with tlimswitch
set to true
.
false
When tlimswitch
is true
, it causes the limit package to
use Taylor series when possible.
Go to the first, previous, next, last section, table of contents.