Limit Calculator (Evaluate Limits Step by Step)
Use this free limit calculator to estimate the limit of a function as x approaches a value — or infinity — from the left, the right, or both sides. It shows a table of approaching values and a graph so you can see the behavior.
How it works
The calculator evaluates f(x) at points getting closer and closer to a and watches the trend. If the left and right values agree, that is the limit; if they disagree, the two-sided limit does not exist.
How to use it
- Enter a function of x (sin, cos, exp, ln, sqrt, etc.).
- Enter the point a (a number, or inf / -inf).
- Choose two-sided or one-sided and press Find limit.
Related: the Derivative Calculator and more free math calculators.
Frequently asked questions
Can it find limits at infinity?
Yes — type inf or -inf for the point and it evaluates the trend for large |x|.
What does DNE mean?
Does Not Exist — it appears when the left-hand and right-hand limits disagree.
Is this an exact symbolic limit?
It is a careful numerical estimate, snapped to a clean value when possible, with a table so you can see the behavior.
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