How this calculator works
The engine examines shrinking-distance sample sequences and only reports a finite limit when the relevant one-sided samples demonstrate stable convergence.
Formula
limₓ→ₐ f(x) from converging one-sided sample sequencesEstimates finite one- or two-sided limits only when the numerical samples demonstrate stable convergence.
Worked example
Removable discontinuity is a verified test case used by the calculation engine.
Assumptions and limitations
- This version certifies finite numerical limits only.
- Oscillatory, divergent or unequal two-sided behavior is rejected.
- Numerical sampling is not a proof of a symbolic limit.
Methodology & sources
This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.
- CalcuMint deterministic numerical-calculus engine — Finite limit estimator with one-sided convergence checks.
Frequently asked questions
Can it detect a limit that does not exist?
It rejects common non-convergent cases when the numerical samples fail the convergence checks or the two sides disagree.
Are infinite limits supported?
Not in this certified version; it is intentionally limited to finite limits.