Limit Calculator
Estimate the limit of a function as x approaches a chosen value. Select a common function, choose the approach direction, and see left-hand, right-hand, and two-sided results with clear steps.
Enter limit values
Result
Choose a function and click calculate.
Two-sided limit
A two-sided limit exists only when the left-hand and right-hand limits approach the same value.
One-sided limits
Use left or right mode when the behavior differs on each side or the function is defined only on one side.
Limit vs function value
The limit depends on nearby values. The function may be undefined at the approach point and still have a finite limit.
Frequently asked questions
What does a limit describe?
A limit describes the value a function approaches as the input gets arbitrarily close to a chosen point.
Why can a limit exist when the function is undefined?
The limit uses nearby behavior rather than the value exactly at the point, so a removable hole can still have a limit.
How are infinite limits displayed?
If sampled values grow rapidly with a consistent sign, the calculator reports positive or negative infinity.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
