Limit Calculator
Evaluate limits, one-sided limits and limits at infinity, with substitution, factoring, conjugates or L’Hôpital’s rule shown. Try “limit of sin(3x)/x as x → 0”.
Try an example:
How the Limit Calculator works
- Try direct substitution first.
- If you get 0/0 or ∞/∞, factor, rationalize, use a known limit or apply L’Hôpital’s rule.
- State the limit, or say it does not exist if left and right limits differ.
Frequently asked questions
What does 0/0 mean in a limit?
It is an indeterminate form: the limit may still exist, so you must simplify or use L’Hôpital’s rule.
When does a limit not exist?
When the left and right limits differ, the function grows without bound, or it oscillates.
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