Limit Calculator
Start with direct substitution, then — if you hit 0/0 or ∞/∞ — factor and cancel or apply L'Hôpital's rule. One-sided limits are compared numerically to decide whether the two-sided limit exists.
How to use the limit calculator
- Enter the function and the point the variable approaches.
- Pick two-sided or one-sided.
- Follow the steps from substitution to the final value.
Examples
lim(x→1) (x² − 1)/(x − 1)
Answer: 2
lim(x→0) sin x / x
Answer: 1
lim(x→∞) (1 + 1/x)^x
Answer: e