Even simple-looking limits are sometimes quite complicated to compute.
Mathematica provides functionality to evaluate several kinds of limits.
Use
Limit to calculate limits; the first argument is the function and the second has the form
variable ->
value. You can expect that
:
You may want to calculate limits from the right or left. For example, although
is not well defined,
Mathematica defaults to limits from the right:
To force the limit to be from the left, use
Direction
:
If you know something about a parameter in a limit, use the
Assumptions option to include this information.
Suppose you want to calculate
. Without knowing more, the limit cannot be calculated:
If, however, you know that
, then you can compute the answer:
