How to | Compute a Limit

Even simple-looking limits are sometimes quite complicated to compute. The Wolfram Language 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, the Wolfram Language defaults to limits from the right:

To force the limit to be from the left, use Direction->1:


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:

  • Finding Limits
  • Series, Limits, and Residues
  • How to: Do Calculus
  • Limit  Assumptions  Direction

  • Calculus
  • "How to" Topics