Limit Calculator
Understand limits with an AI limit calculator that explains substitution, factoring, and one-sided behavior.
What this calculator does
A limit describes the value a function approaches as its input approaches a point or infinity. AIMath can explain direct substitution, algebraic simplification, and one-sided limits.
Solve this with AIMath
Use AIMath's AI Math Solver for the full problem, step-by-step reasoning, images, and follow-up questions. Your selected topic will be prefilled on the solver page.
Solve with AI Math SolverWhy use AIMath?
- Learn why direct substitution works or fails.
- See how factoring or rationalization removes an indeterminate form.
- Ask about limits at infinity and one-sided behavior.
How to use this calculator
- Open AI Math Solver from this page.
- Enter the function and the value the variable approaches.
- Mention a one-sided limit if the direction matters.
- Review the algebra and confirm the final behavior.
Worked example
Find lim(x→2) (x^2-4)/(x-2).
- Direct substitution gives 0/0, so factor the numerator.
- Rewrite x^2-4 as (x-2)(x+2).
- Cancel the common factor and evaluate x+2 at x=2.
Result: The limit is 4.
Supported inputs
- Limits at finite values and infinity
- One-sided limits and rational expressions
- Questions about indeterminate forms and continuity
Limitations
- This page is a guided AI Math Solver entry point, not a proof assistant or standalone limit engine.
- Use explicit parentheses and direction notation when the expression is ambiguous.
Frequently asked questions
Why can a limit be defined when a function is not?
A limit concerns the value approached near a point; the function's value at the point can be different or undefined.
What does 0/0 mean in a limit?
It is an indeterminate form that signals more algebra or another limit method is needed.
Can AIMath explain one-sided limits?
Yes. State whether x approaches from the left or right and ask for the corresponding explanation.
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