Limit Calculator
Type a function and the point it approaches. You get the limit and how it was found — by substitution when that works, from both sides when it does not.
Example — Limit of sin(x)/x as x → 0≈ 1
How we got it — the example, step by step
- Direct substitution gives 0/0, which says nothing — so approach 0 from both sides.
- From the left and the right, the values close in on the same number: 1.
- That shared value is the limit (a standard exact result; the ≈ marks that it was read from approaching values).
Questions people also ask
Why do some limits say ≈?
When direct substitution fails, Clirto reads the limit from values on both sides of the point. That is a numerical method, so the answer is marked as approximate even when it matches a known exact value.
What if the two sides disagree?
Then the calculator says the limit does not exist, and shows the two different values it found. It never averages a disagreement into a fake answer.