How one-sided limits are read
- Decide whether the approach is from the left \((- )\) or right \((+ )\).
- Track sign changes near the target value.
- Compare one-sided results only after evaluating each side separately.
One-Sided Limit Calculator
Check left-hand and right-hand limits.
Use this calculator as a study checker
Enter the problem carefully, review the interpreted input, and compare each step with your own work. Calculus results can depend on notation, variables, bounds, domains, and assumptions.
- Check the method before copying the answer.
- Use the examples below to test nearby problems.
- Read the calculus guides for worked explanations.
Solution
50 study checks todayEnter an expression or choose an example to calculate.
One-Sided Limit Examples
What this calculator is for
A one-sided limit checks behavior from only the left or only the right. A two-sided limit exists only when both sides agree. Use it to check your setup, compare steps with your own work, and review the meaning of the final expression before copying it into homework.
Manual example
- Problem: \(\lim_{x\to0^+}1/x\).
- As \(x\) approaches zero from the right, \(x\) stays positive and very small.
- The expression grows without bound, so the limit is \(+\infty\).
Common mistakes to avoid
- Forgetting the direction marker.
- Reporting a two-sided limit when the sides disagree.
- Treating infinity as an ordinary number.
When to double-check the result
One-sided limit results are especially sensitive to notation. Include the plus or minus direction in the input.