Limit Calculator

Evaluate limits of rational, trigonometric, and exponential functions. Shows left limit, right limit, and existence.

Function Type

Coefficient a

Coefficient b

x approaches

Tab to move between fields

Limit

Left Limit-0

Right Limit0

Limit ExistsYes

How to Use This Calculator

Select the function type (rational, trig, exponential, or logarithmic) and enter the function parameters.
Enter the x value that x approaches; the calculator evaluates the function from both sides.
Left-hand limit and right-hand limit are computed separately; the two-sided limit exists only if both are equal.
For indeterminate forms (0/0, ∞/∞), the calculator applies L'Hôpital's rule or algebraic simplification.
The chart plots the function near the limit point so you can visually confirm continuity or a jump discontinuity.
A limit of ±∞ indicates a vertical asymptote at the chosen x value.

Ad Placeholder

Related Calculators

Calculate the derivative of polynomial, trigonometric, exponential, and logarithmic functions at any point.

Approximate functions using Taylor series expansion. Compare the approximation with the exact value for sin, cos, e^x, and ln(x).

Calculate definite integrals of polynomial, trigonometric, and exponential functions over any interval.

Ad Placeholder