About the Limit Calculator
Evaluate limits of functions as x approaches a value or ±infinity, including one-sided limits and indeterminate forms like 0/0.
Also known as: limits calculator, find the limit, lim x approaches, one sided limit, limit at infinity.
How to use this calculator
- Enter f(x), x approaches.
- The result updates instantly as you type — press Calculate (or Enter) at any time.
- Review the breakdown shown under the main result.
- Use Copy result or Share to save the answer or send a link with your inputs.
Formula
lim(x→a) f(x) = L if f(x) gets arbitrarily close to L as x → a from both sides
Worked example
Using the values pre-filled in the calculator above:
- f(x): sin(x)/x
- x approaches: a value
- a = = 0
- Direction: Both sides
the calculator returns:
- Limit: 1
Tips & common mistakes
- Results are computed numerically from both sides and are highly accurate for well-behaved functions; always sanity-check limits of rapidly oscillating functions.