How to | Compute a Limit
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 
. You can expect that 
:
| Out[1]= |  |
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:
| Out[2]= |  |
| Out[3]= |  |
To force the limit to be from the left, use Direction->1:
| Out[4]= |  |
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:
| Out[5]= |  |
If, however, you know that 
, then you can compute the answer:
| Out[6]= |  |
