Calculus

Limit Calculator

Enter a function of x and the value x approaches. The calculator samples the function from both the left and the right, builds a table of values, and reports the limit when both sides agree — or that the limit does not exist when they differ.

Limit Calculator

Estimate the limit of a function as x approaches a value.

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Frequently asked questions

How is the limit estimated?

The function is sampled at points closer and closer to the target from both sides; agreement between the two sides indicates the limit.

Can it detect when a limit does not exist?

Yes. If the left-hand and right-hand values disagree, the tool reports that the two-sided limit does not exist.

Does it handle removable discontinuities?

Yes. For a hole such as (x² − 1)/(x − 1) at x = 1 it still finds the limiting value.