🎯Limit Calculator
Evaluate the limit of a function as x approaches a value or infinity, with left/right limits and L'Hôpital's rule shown for indeterminate forms.
Calculations run entirely in your browser using math.js for parsing and evaluation, using numeric convergence and, when applicable, L'Hôpital's rule. No data is sent to a server.
Free Limit Calculator
Our free limit calculator evaluates the limit of a function as x approaches any finite value or infinity. It computes the left-hand and right-hand limits numerically by evaluating the function at points that converge closer and closer to the target, then checks whether both sides agree.
For indeterminate forms like 0/0, where a function such as sin(x)/x is undefined at the approach point but has a well-defined limit, the calculator detects the numerator and denominator both vanishing and applies L'Hôpital's rule — differentiating the numerator and denominator separately and evaluating the resulting ratio at the same point.
This makes the tool useful for calculus homework, verifying limit computations, and understanding one-sided limits and infinite limits. No sign-up, no downloads — everything runs instantly in your browser.